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)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $229.00. There are 25 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




2)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 185 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




3)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 100 cents. There are 8 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 Nandini got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Tamilselvi has some 20-cent coins and 50-cent coins. The coins add up to $178.20. There are 16 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




5)  

Parveen has some 5-gram and 10-gram weights. The weights add up to 150 g. There are 3 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




6)  

Thamarai has some 5-cent and 10-cent coins. The coins add up to 190 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 Thamarai got

five-cent coins

ten-cent coins


Answer:_______________




7)  

Indra has some 20-cent coins and 50-cent coins. The coins add up to $91.80. There are 4 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




8)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 135 g. There are 3 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




9)  

Haritha has some 5-cent and 10-cent coins. The coins add up to 175 cents. There are 8 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:_______________




10)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $186.40. There are 22 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




 

1)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $229.00. There are 25 more 20-cent coins than 50-cent coins.

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

Answer: 345 twenty-cent coins

Answer: 320 fifty-cent coins




SOLUTION 1 :

There are 25 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 25 (20-cent coins) → 25 x 20
     = 500 cents
     = $5.00
 Step 2: $229.00 - $5.00  = $224.00
 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: $224.00 ÷ $0.70 = 320 (50-cent coins)
 Step 5: 320 + 25  = 345 (20-cent coins)

 

 Nandini has 345 twenty-cent coins and 320 fifty-cent coins.



2)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 185 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 11 ten-gram weights

Answer: 15 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: 185 g - 20 g  = 165 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 165 g ÷ 15 g = 11 (10-gram weights)
 Step 5: 11 + 4  = 15 (5-gram weights)

 

 

 

Kumutha has 15 five-gram weights and 11 ten-gram weights



3)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 100 cents. There are 8 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 Nandini got

Answer: 12 five-cent coins

Answer: 4 ten-cent coins


SOLUTION 1 :

There are 8 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 8 five-cent coins → 8 x 5
     = 40 cents
 Step 2: 100 cents - 40 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 + 8  = 12 (5-cent coins)

 

 Nandini has 12 five-cent coins and 4 ten-cent coins.



4)  

Tamilselvi has some 20-cent coins and 50-cent coins. The coins add up to $178.20. There are 16 more 20-cent coins than 50-cent coins.

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

Answer: 266 twenty-cent coins

Answer: 250 fifty-cent coins




SOLUTION 1 :

There are 16 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 16 (20-cent coins) → 16 x 20
     = 320 cents
     = $3.20
 Step 2: $178.20 - $3.20  = $175.00
 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: $175.00 ÷ $0.70 = 250 (50-cent coins)
 Step 5: 250 + 16  = 266 (20-cent coins)

 

 Tamilselvi has 266 twenty-cent coins and 250 fifty-cent coins.



5)  

Parveen has some 5-gram and 10-gram weights. The weights add up to 150 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 9 ten-gram weights

Answer: 12 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: 150 g - 15 g  = 135 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 135 g ÷ 15 g = 9 (10-gram weights)
 Step 5: 9 + 3  = 12 (5-gram weights)

 

 

 

Parveen has 12 five-gram weights and 9 ten-gram weights



6)  

Thamarai has some 5-cent and 10-cent coins. The coins add up to 190 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 Thamarai got

Answer: 16 five-cent coins

Answer: 11 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: 190 cents - 25 cents  = 165 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: 165 ÷ 15 cents  = 11 (10-cent coins)
  11 + 5  = 16 (5-cent coins)

 

 Thamarai has 16 five-cent coins and 11 ten-cent coins.



7)  

Indra has some 20-cent coins and 50-cent coins. The coins add up to $91.80. There are 4 more 20-cent coins than 50-cent coins.

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

Answer: 134 twenty-cent coins

Answer: 130 fifty-cent coins




SOLUTION 1 :

There are 4 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 4 (20-cent coins) → 4 x 20
     = 80 cents
     = $0.80
 Step 2: $91.80 - $0.80  = $91.00
 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: $91.00 ÷ $0.70 = 130 (50-cent coins)
 Step 5: 130 + 4  = 134 (20-cent coins)

 

 Indra has 134 twenty-cent coins and 130 fifty-cent coins.



8)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 135 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 8 ten-gram weights

Answer: 11 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: 135 g - 15 g  = 120 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 120 g ÷ 15 g = 8 (10-gram weights)
 Step 5: 8 + 3  = 11 (5-gram weights)

 

 

 

Kumutha has 11 five-gram weights and 8 ten-gram weights



9)  

Haritha has some 5-cent and 10-cent coins. The coins add up to 175 cents. There are 8 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: 17 five-cent coins

Answer: 9 ten-cent coins


SOLUTION 1 :

There are 8 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 8 five-cent coins → 8 x 5
     = 40 cents
 Step 2: 175 cents - 40 cents  = 135 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: 135 ÷ 15 cents  = 9 (10-cent coins)
  9 + 8  = 17 (5-cent coins)

 

 Haritha has 17 five-cent coins and 9 ten-cent coins.



10)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $186.40. There are 22 more 20-cent coins than 50-cent coins.

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

Answer: 282 twenty-cent coins

Answer: 260 fifty-cent coins




SOLUTION 1 :

There are 22 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 22 (20-cent coins) → 22 x 20
     = 440 cents
     = $4.40
 Step 2: $186.40 - $4.40  = $182.00
 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: $182.00 ÷ $0.70 = 260 (50-cent coins)
 Step 5: 260 + 22  = 282 (20-cent coins)

 

 Thamarai has 282 twenty-cent coins and 260 fifty-cent coins.