Scroll:Whole Numbers >> Other Heuristics >> ps (537)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

The cost of 7 stools and 6 tables is $650.00.

The cost of 5 stools and 2 tables is $270.00.

Find the cost of 5 tables.  $ ___
Find the cost of 7 stools.  $ ___

Answer:_______________




2)  

The cost of 1 stool and 2 tables is $224.00.

The cost of 3 stools and 1 table is $192.00.



Find the cost of 1 table.  $ ___
Find the cost of 6 stools.  $ ___



Answer:_______________




3)  

The cost of 1 stool and 4 tables is $351.00.

The cost of 3 stools and 2 tables is $243.00.

Find the cost of 1 table.  $ ___
Find the cost of 3 stools.  $ ___

Answer:_______________




4)  

The cost of 1 stool and 4 tables is $374.00.

The cost of 5 stools and 2 tables is $322.00.

Find the cost of 1 table.  $ ___
Find the cost of 3 stools.  $ ___

Answer:_______________




5)  

The cost of 7 stools and 6 tables is $722.00.

The cost of 5 stools and 2 tables is $326.00.

Find the cost of 5 tables.  $ ___
Find the cost of 7 stools.  $ ___

Answer:_______________




6)  

The cost of 1 stool and 2 tables is $194.00.

The cost of 3 stools and 1 table is $162.00.



Find the cost of 1 table.  $ ___
Find the cost of 6 stools.  $ ___



Answer:_______________




7)  

The cost of 1 stool and 4 tables is $334.00.

The cost of 3 stools and 2 tables is $202.00.

Find the cost of 1 table.  $ ___
Find the cost of 3 stools.  $ ___

Answer:_______________




8)  

The cost of 1 stool and 4 tables is $360.00.

The cost of 5 stools and 2 tables is $270.00.

Find the cost of 1 table.  $ ___
Find the cost of 3 stools.  $ ___

Answer:_______________




9)  

The cost of 7 stools and 6 tables is $676.00.

The cost of 5 stools and 2 tables is $284.00.

Find the cost of 5 tables.  $ ___
Find the cost of 7 stools.  $ ___

Answer:_______________




10)  

The cost of 1 stool and 2 tables is $211.00.

The cost of 3 stools and 1 table is $173.00.



Find the cost of 1 table.  $ ___
Find the cost of 6 stools.  $ ___



Answer:_______________




 

1)  

The cost of 7 stools and 6 tables is $650.00.

The cost of 5 stools and 2 tables is $270.00.

Find the cost of 5 tables.  $ Answer: 425.00
Find the cost of 7 stools.  $ Answer: 140.00

SOLUTION 1 :

7 stools + 6 tables ---------> $650.00.
5 stools + 2 tables ---------> $270.00.

Step 1: 15 stools + 6 tables = $270.00 x 3
                                           = $810.00

Step 2: 15 stools - 7 stools = 8 stools
                8 stools---------->$810.00 - $650.00
                                          = $160.00

Step 3: 1 stool = $160.00 ÷ 8
                        = $20.00

Step 4: 7 stools = $20.00 x 7
                          = $140.00

Step 5: 6 tables = $650.00 - $140.00
                          = $510.00

Step 6: 1 table = $510.00 ÷ 6
                        = $85.00

Step 7: 5 tables = $85.00 x 5
                          = $425.00

The cost of 5 tables: $425.00

The cost of 7 stools: $140.00



2)  

The cost of 1 stool and 2 tables is $224.00.

The cost of 3 stools and 1 table is $192.00.



Find the cost of 1 table.  $ Answer: 96.00
Find the cost of 6 stools.  $ Answer: 192.00



SOLUTION 1 :

1 stool + 2 tables -------> $224.00
3 stools + 1 table -------> $192.00
 

Step 1: 3 stools + 6 tables = $224.00 x 3
                                         = $672.00

Step 2: 6 tables - 1 table = 5 tables
            5 tables ------>  $672.00 - $192.00 
                                    = $480.00

Step 3: 1 table = $480.00 ÷ 5
                        = $96.00

Step 4: 3 stools = $192.00 - $96.00
                          = $96.00

Step 5: 6 stools = $96.00 x 2
                          = $192.00

The cost of 1 table: $96.00 

The cost of 6 stools: $192.00



3)  

The cost of 1 stool and 4 tables is $351.00.

The cost of 3 stools and 2 tables is $243.00.

Find the cost of 1 table.  $ Answer: 81.00
Find the cost of 3 stools.  $ Answer: 81.00

SOLUTION 1 :

1 stool + 4 tables ---------> $351.00
3 stools + 2 tables --------> $243.00.

Step 1: 6 stools + 4 tables = $243.00 x 2
                                         = $486.00

Step 2: 6 stools - 1 stool = 5 stools
            5 stools------------>$486.00 - $351.00
                                       = $135.00

Step 3: 1 stool = $135.00 ÷ 5
                        = $27.00

Step 4: 3 stools = $27.00 x 3
                         = $81.00

Step 5: 4 tables = $351.00 - $27.00
                          = $324.00

Step 6: 1 table = $324.00 ÷ 4
                        = $81.00

The cost of 1 table: $81.00

The cost of 3 stools: $81.00



4)  

The cost of 1 stool and 4 tables is $374.00.

The cost of 5 stools and 2 tables is $322.00.

Find the cost of 1 table.  $ Answer: 86.00
Find the cost of 3 stools.  $ Answer: 90.00

SOLUTION 1 :

1 stool + 4 tables -------------> $374.00.
5 stools + 2 tables -----------> $322.00.

Step 1: 10 stools + 4 tables = $322.00 x 2
                                           = $644.00

Step 2: 10 stools - 1 stool = 9 stools
              9 stools -----------> $644.00 - $374.00
                                          = $270.00

Step 3: 1 stool = $270.00 ÷ 9
                        = $30.00

Step 4: 3 stools = $30.00 x 3
                         = $90.00

Step 5: 4 tables = $374.00 - $30.00
                          = $344.00

Step 6: 1 table = $344.00 ÷ 4
                        = $86.00

The cost of 1 table: $86.00

The cost of 3 stools: $90.00



5)  

The cost of 7 stools and 6 tables is $722.00.

The cost of 5 stools and 2 tables is $326.00.

Find the cost of 5 tables.  $ Answer: 415.00
Find the cost of 7 stools.  $ Answer: 224.00

SOLUTION 1 :

7 stools + 6 tables ---------> $722.00.
5 stools + 2 tables ---------> $326.00.

Step 1: 15 stools + 6 tables = $326.00 x 3
                                           = $978.00

Step 2: 15 stools - 7 stools = 8 stools
                8 stools---------->$978.00 - $722.00
                                          = $256.00

Step 3: 1 stool = $256.00 ÷ 8
                        = $32.00

Step 4: 7 stools = $32.00 x 7
                          = $224.00

Step 5: 6 tables = $722.00 - $224.00
                          = $498.00

Step 6: 1 table = $498.00 ÷ 6
                        = $83.00

Step 7: 5 tables = $83.00 x 5
                          = $415.00

The cost of 5 tables: $415.00

The cost of 7 stools: $224.00



6)  

The cost of 1 stool and 2 tables is $194.00.

The cost of 3 stools and 1 table is $162.00.



Find the cost of 1 table.  $ Answer: 84.00
Find the cost of 6 stools.  $ Answer: 156.00



SOLUTION 1 :

1 stool + 2 tables -------> $194.00
3 stools + 1 table -------> $162.00
 

Step 1: 3 stools + 6 tables = $194.00 x 3
                                         = $582.00

Step 2: 6 tables - 1 table = 5 tables
            5 tables ------>  $582.00 - $162.00 
                                    = $420.00

Step 3: 1 table = $420.00 ÷ 5
                        = $84.00

Step 4: 3 stools = $162.00 - $84.00
                          = $78.00

Step 5: 6 stools = $78.00 x 2
                          = $156.00

The cost of 1 table: $84.00 

The cost of 6 stools: $156.00



7)  

The cost of 1 stool and 4 tables is $334.00.

The cost of 3 stools and 2 tables is $202.00.

Find the cost of 1 table.  $ Answer: 80.00
Find the cost of 3 stools.  $ Answer: 42.00

SOLUTION 1 :

1 stool + 4 tables ---------> $334.00
3 stools + 2 tables --------> $202.00.

Step 1: 6 stools + 4 tables = $202.00 x 2
                                         = $404.00

Step 2: 6 stools - 1 stool = 5 stools
            5 stools------------>$404.00 - $334.00
                                       = $70.00

Step 3: 1 stool = $70.00 ÷ 5
                        = $14.00

Step 4: 3 stools = $14.00 x 3
                         = $42.00

Step 5: 4 tables = $334.00 - $14.00
                          = $320.00

Step 6: 1 table = $320.00 ÷ 4
                        = $80.00

The cost of 1 table: $80.00

The cost of 3 stools: $42.00



8)  

The cost of 1 stool and 4 tables is $360.00.

The cost of 5 stools and 2 tables is $270.00.

Find the cost of 1 table.  $ Answer: 85.00
Find the cost of 3 stools.  $ Answer: 60.00

SOLUTION 1 :

1 stool + 4 tables -------------> $360.00.
5 stools + 2 tables -----------> $270.00.

Step 1: 10 stools + 4 tables = $270.00 x 2
                                           = $540.00

Step 2: 10 stools - 1 stool = 9 stools
              9 stools -----------> $540.00 - $360.00
                                          = $180.00

Step 3: 1 stool = $180.00 ÷ 9
                        = $20.00

Step 4: 3 stools = $20.00 x 3
                         = $60.00

Step 5: 4 tables = $360.00 - $20.00
                          = $340.00

Step 6: 1 table = $340.00 ÷ 4
                        = $85.00

The cost of 1 table: $85.00

The cost of 3 stools: $60.00



9)  

The cost of 7 stools and 6 tables is $676.00.

The cost of 5 stools and 2 tables is $284.00.

Find the cost of 5 tables.  $ Answer: 435.00
Find the cost of 7 stools.  $ Answer: 154.00

SOLUTION 1 :

7 stools + 6 tables ---------> $676.00.
5 stools + 2 tables ---------> $284.00.

Step 1: 15 stools + 6 tables = $284.00 x 3
                                           = $852.00

Step 2: 15 stools - 7 stools = 8 stools
                8 stools---------->$852.00 - $676.00
                                          = $176.00

Step 3: 1 stool = $176.00 ÷ 8
                        = $22.00

Step 4: 7 stools = $22.00 x 7
                          = $154.00

Step 5: 6 tables = $676.00 - $154.00
                          = $522.00

Step 6: 1 table = $522.00 ÷ 6
                        = $87.00

Step 7: 5 tables = $87.00 x 5
                          = $435.00

The cost of 5 tables: $435.00

The cost of 7 stools: $154.00



10)  

The cost of 1 stool and 2 tables is $211.00.

The cost of 3 stools and 1 table is $173.00.



Find the cost of 1 table.  $ Answer: 92.00
Find the cost of 6 stools.  $ Answer: 162.00



SOLUTION 1 :

1 stool + 2 tables -------> $211.00
3 stools + 1 table -------> $173.00
 

Step 1: 3 stools + 6 tables = $211.00 x 3
                                         = $633.00

Step 2: 6 tables - 1 table = 5 tables
            5 tables ------>  $633.00 - $173.00 
                                    = $460.00

Step 3: 1 table = $460.00 ÷ 5
                        = $92.00

Step 4: 3 stools = $173.00 - $92.00
                          = $81.00

Step 5: 6 stools = $81.00 x 2
                          = $162.00

The cost of 1 table: $92.00 

The cost of 6 stools: $162.00