Scroll:Whole Numbers >> Other Heuristics >> ps (134)

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)  

Jeevini has some 5-cent and 10-cent coins. The coins add up to 175 cents. There are 5 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Jeevini got

five-cent coins

ten-cent coins


Answer:_______________




2)  

Selvanayaki has some 20-cent coins and 50-cent coins. The coins add up to $169.00. There are 5 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Selvanayaki has 

twenty-cent coins

fifty-cent coins




Answer:_______________




3)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 105 g. There are 3 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Amutha have

ten-gram weights

five-gram weights



Answer:_______________




4)  

Haritha has some 5-cent and 10-cent coins. The coins add up to 95 cents. There are 7 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Haritha got

five-cent coins

ten-cent coins


Answer:_______________




5)  

Mithra has some 20-cent coins and 50-cent coins. The coins add up to $71.20. There are 6 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Mithra has 

twenty-cent coins

fifty-cent coins




Answer:_______________




6)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 110 g. There are 4 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Jeevini have

ten-gram weights

five-gram weights



Answer:_______________




7)  

Savithri has some 5-cent and 10-cent coins. The coins add up to 220 cents. There are 5 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Savithri got

five-cent coins

ten-cent coins


Answer:_______________




8)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $241.40. There are 17 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Ramani has 

twenty-cent coins

fifty-cent coins




Answer:_______________




9)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 90 g. There are 3 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Jeevini have

ten-gram weights

five-gram weights



Answer:_______________




10)  

Ramani has some 5-cent and 10-cent coins. The coins add up to 105 cents. There are 9 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Ramani got

five-cent coins

ten-cent coins


Answer:_______________




 

1)  

Jeevini has some 5-cent and 10-cent coins. The coins add up to 175 cents. There are 5 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Jeevini got

Answer: 15 five-cent coins

Answer: 10 ten-cent coins


SOLUTION 1 :

There are 5 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 5 five-cent coins → 5 x 5
     = 25 cents
 Step 2: 175 cents - 25 cents  = 150 cents
 Step 3: The value of 1 set of 1 five-cent coin and 1 ten-cent coin → 5 cents + 10 cents
     = 15 cents
 Step 4: 150 ÷ 15 cents  = 10 (10-cent coins)
  10 + 5  = 15 (5-cent coins)

 

 Jeevini has 15 five-cent coins and 10 ten-cent coins.



2)  

Selvanayaki has some 20-cent coins and 50-cent coins. The coins add up to $169.00. There are 5 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Selvanayaki has 

Answer: 245 twenty-cent coins

Answer: 240 fifty-cent coins




SOLUTION 1 :

There are 5 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 5 (20-cent coins) → 5 x 20
     = 100 cents
     = $1.00
 Step 2: $169.00 - $1.00  = $168.00
 Step 3: The value of each set of one 20-cent and one 50-cent coins is  = 20 + 50
     = 70 cents (1 set)
     = $0.70
 Step 4: $168.00 ÷ $0.70 = 240 (50-cent coins)
 Step 5: 240 + 5  = 245 (20-cent coins)

 

 Selvanayaki has 245 twenty-cent coins and 240 fifty-cent coins.



3)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 105 g. There are 3 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Amutha have

Answer: 6 ten-gram weights

Answer: 9 five-gram weights



SOLUTION 1 :

There are 3 more 5-gram weights than 10-gram weights.

 Step 1: The value of the 3 (5-gram weights) → 3 x 5 g
     = 15 g
 Step 2: 105 g - 15 g  = 90 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 90 g ÷ 15 g = 6 (10-gram weights)
 Step 5: 6 + 3  = 9 (5-gram weights)

 

 

 

Amutha has 9 five-gram weights and 6 ten-gram weights



4)  

Haritha has some 5-cent and 10-cent coins. The coins add up to 95 cents. There are 7 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Haritha got

Answer: 11 five-cent coins

Answer: 4 ten-cent coins


SOLUTION 1 :

There are 7 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 7 five-cent coins → 7 x 5
     = 35 cents
 Step 2: 95 cents - 35 cents  = 60 cents
 Step 3: The value of 1 set of 1 five-cent coin and 1 ten-cent coin → 5 cents + 10 cents
     = 15 cents
 Step 4: 60 ÷ 15 cents  = 4 (10-cent coins)
  4 + 7  = 11 (5-cent coins)

 

 Haritha has 11 five-cent coins and 4 ten-cent coins.



5)  

Mithra has some 20-cent coins and 50-cent coins. The coins add up to $71.20. There are 6 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Mithra has 

Answer: 106 twenty-cent coins

Answer: 100 fifty-cent coins




SOLUTION 1 :

There are 6 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 6 (20-cent coins) → 6 x 20
     = 120 cents
     = $1.20
 Step 2: $71.20 - $1.20  = $70.00
 Step 3: The value of each set of one 20-cent and one 50-cent coins is  = 20 + 50
     = 70 cents (1 set)
     = $0.70
 Step 4: $70.00 ÷ $0.70 = 100 (50-cent coins)
 Step 5: 100 + 6  = 106 (20-cent coins)

 

 Mithra has 106 twenty-cent coins and 100 fifty-cent coins.



6)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 110 g. There are 4 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Jeevini have

Answer: 6 ten-gram weights

Answer: 10 five-gram weights



SOLUTION 1 :

There are 4 more 5-gram weights than 10-gram weights.

 Step 1: The value of the 4 (5-gram weights) → 4 x 5 g
     = 20 g
 Step 2: 110 g - 20 g  = 90 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 90 g ÷ 15 g = 6 (10-gram weights)
 Step 5: 6 + 4  = 10 (5-gram weights)

 

 

 

Jeevini has 10 five-gram weights and 6 ten-gram weights



7)  

Savithri has some 5-cent and 10-cent coins. The coins add up to 220 cents. There are 5 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Savithri got

Answer: 18 five-cent coins

Answer: 13 ten-cent coins


SOLUTION 1 :

There are 5 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 5 five-cent coins → 5 x 5
     = 25 cents
 Step 2: 220 cents - 25 cents  = 195 cents
 Step 3: The value of 1 set of 1 five-cent coin and 1 ten-cent coin → 5 cents + 10 cents
     = 15 cents
 Step 4: 195 ÷ 15 cents  = 13 (10-cent coins)
  13 + 5  = 18 (5-cent coins)

 

 Savithri has 18 five-cent coins and 13 ten-cent coins.



8)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $241.40. There are 17 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Ramani has 

Answer: 357 twenty-cent coins

Answer: 340 fifty-cent coins




SOLUTION 1 :

There are 17 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 17 (20-cent coins) → 17 x 20
     = 340 cents
     = $3.40
 Step 2: $241.40 - $3.40  = $238.00
 Step 3: The value of each set of one 20-cent and one 50-cent coins is  = 20 + 50
     = 70 cents (1 set)
     = $0.70
 Step 4: $238.00 ÷ $0.70 = 340 (50-cent coins)
 Step 5: 340 + 17  = 357 (20-cent coins)

 

 Ramani has 357 twenty-cent coins and 340 fifty-cent coins.



9)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 90 g. There are 3 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Jeevini have

Answer: 5 ten-gram weights

Answer: 8 five-gram weights



SOLUTION 1 :

There are 3 more 5-gram weights than 10-gram weights.

 Step 1: The value of the 3 (5-gram weights) → 3 x 5 g
     = 15 g
 Step 2: 90 g - 15 g  = 75 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 75 g ÷ 15 g = 5 (10-gram weights)
 Step 5: 5 + 3  = 8 (5-gram weights)

 

 

 

Jeevini has 8 five-gram weights and 5 ten-gram weights



10)  

Ramani has some 5-cent and 10-cent coins. The coins add up to 105 cents. There are 9 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Ramani got

Answer: 13 five-cent coins

Answer: 4 ten-cent coins


SOLUTION 1 :

There are 9 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 9 five-cent coins → 9 x 5
     = 45 cents
 Step 2: 105 cents - 45 cents  = 60 cents
 Step 3: The value of 1 set of 1 five-cent coin and 1 ten-cent coin → 5 cents + 10 cents
     = 15 cents
 Step 4: 60 ÷ 15 cents  = 4 (10-cent coins)
  4 + 9  = 13 (5-cent coins)

 

 Ramani has 13 five-cent coins and 4 ten-cent coins.