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)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 115 g. There are 5 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:_______________




2)  

Pavi has some 5-cent and 10-cent coins. The coins add up to 140 cents. There are 10 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 Pavi got

five-cent coins

ten-cent coins


Answer:_______________




3)  

Haritha has some 20-cent coins and 50-cent coins. The coins add up to $282.60. There are 13 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




4)  

Nandini 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 Nandini have

ten-gram weights

five-gram weights



Answer:_______________




5)  

Ramani 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 Ramani got

five-cent coins

ten-cent coins


Answer:_______________




6)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $254.60. There are 13 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:_______________




7)  

Panimalar has some 5-gram and 10-gram weights. The weights add up to 140 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




8)  

Pavi has some 5-cent and 10-cent coins. The coins add up to 80 cents. There are 4 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 Pavi got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $229.80. There are 29 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




10)  

Selvanayaki has some 5-gram and 10-gram weights. The weights add up to 70 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 115 g. There are 5 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: 11 five-gram weights



SOLUTION 1 :

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

 Step 1: The value of the 5 (5-gram weights) → 5 x 5 g
     = 25 g
 Step 2: 115 g - 25 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 + 5  = 11 (5-gram weights)

 

 

 

Amutha has 11 five-gram weights and 6 ten-gram weights



2)  

Pavi has some 5-cent and 10-cent coins. The coins add up to 140 cents. There are 10 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 Pavi got

Answer: 16 five-cent coins

Answer: 6 ten-cent coins


SOLUTION 1 :

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

 Step 1: The value of the 10 five-cent coins → 10 x 5
     = 50 cents
 Step 2: 140 cents - 50 cents  = 90 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: 90 ÷ 15 cents  = 6 (10-cent coins)
  6 + 10  = 16 (5-cent coins)

 

 Pavi has 16 five-cent coins and 6 ten-cent coins.



3)  

Haritha has some 20-cent coins and 50-cent coins. The coins add up to $282.60. There are 13 more 20-cent coins than 50-cent coins.

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

Answer: 413 twenty-cent coins

Answer: 400 fifty-cent coins




SOLUTION 1 :

There are 13 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 13 (20-cent coins) → 13 x 20
     = 260 cents
     = $2.60
 Step 2: $282.60 - $2.60  = $280.00
 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: $280.00 ÷ $0.70 = 400 (50-cent coins)
 Step 5: 400 + 13  = 413 (20-cent coins)

 

 Haritha has 413 twenty-cent coins and 400 fifty-cent coins.



4)  

Nandini 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 Nandini 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)

 

 

 

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



5)  

Ramani 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 Ramani 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)

 

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



6)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $254.60. There are 13 more 20-cent coins than 50-cent coins.

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

Answer: 373 twenty-cent coins

Answer: 360 fifty-cent coins




SOLUTION 1 :

There are 13 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 13 (20-cent coins) → 13 x 20
     = 260 cents
     = $2.60
 Step 2: $254.60 - $2.60  = $252.00
 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: $252.00 ÷ $0.70 = 360 (50-cent coins)
 Step 5: 360 + 13  = 373 (20-cent coins)

 

 Ramani has 373 twenty-cent coins and 360 fifty-cent coins.



7)  

Panimalar has some 5-gram and 10-gram weights. The weights add up to 140 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 8 ten-gram weights

Answer: 12 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: 140 g - 20 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 + 4  = 12 (5-gram weights)

 

 

 

Panimalar has 12 five-gram weights and 8 ten-gram weights



8)  

Pavi has some 5-cent and 10-cent coins. The coins add up to 80 cents. There are 4 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 Pavi got

Answer: 8 five-cent coins

Answer: 4 ten-cent coins


SOLUTION 1 :

There are 4 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 4 five-cent coins → 4 x 5
     = 20 cents
 Step 2: 80 cents - 20 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 + 4  = 8 (5-cent coins)

 

 Pavi has 8 five-cent coins and 4 ten-cent coins.



9)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $229.80. There are 29 more 20-cent coins than 50-cent coins.

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

Answer: 349 twenty-cent coins

Answer: 320 fifty-cent coins




SOLUTION 1 :

There are 29 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 29 (20-cent coins) → 29 x 20
     = 580 cents
     = $5.80
 Step 2: $229.80 - $5.80  = $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 + 29  = 349 (20-cent coins)

 

 Tulasi has 349 twenty-cent coins and 320 fifty-cent coins.



10)  

Selvanayaki has some 5-gram and 10-gram weights. The weights add up to 70 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 4 ten-gram weights

Answer: 6 five-gram weights



SOLUTION 1 :

There are 2 more 5-gram weights than 10-gram weights.

 Step 1: The value of the 2 (5-gram weights) → 2 x 5 g
     = 10 g
 Step 2: 70 g - 10 g  = 60 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 60 g ÷ 15 g = 4 (10-gram weights)
 Step 5: 4 + 2  = 6 (5-gram weights)

 

 

 

Selvanayaki has 6 five-gram weights and 4 ten-gram weights