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)  

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

five-cent coins

ten-cent coins


Answer:_______________




2)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $296.20. There are 11 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




3)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 200 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:_______________




4)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 185 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 Panimalar got

five-cent coins

ten-cent coins


Answer:_______________




5)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $74.80. There are 24 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:_______________




6)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




7)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 180 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 Panimalar got

five-cent coins

ten-cent coins


Answer:_______________




8)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $138.60. There are 28 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




9)  

Tulasi 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 Tulasi have

ten-gram weights

five-gram weights



Answer:_______________




10)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 180 cents. There are 3 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 Keerthi got

five-cent coins

ten-cent coins


Answer:_______________




 

1)  

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

Answer: 18 five-cent coins

Answer: 10 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: 190 cents - 40 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 + 8  = 18 (5-cent coins)

 

 Chellamal has 18 five-cent coins and 10 ten-cent coins.



2)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $296.20. There are 11 more 20-cent coins than 50-cent coins.

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

Answer: 431 twenty-cent coins

Answer: 420 fifty-cent coins




SOLUTION 1 :

There are 11 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 11 (20-cent coins) → 11 x 20
     = 220 cents
     = $2.20
 Step 2: $296.20 - $2.20  = $294.00
 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: $294.00 ÷ $0.70 = 420 (50-cent coins)
 Step 5: 420 + 11  = 431 (20-cent coins)

 

 Amutha has 431 twenty-cent coins and 420 fifty-cent coins.



3)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 200 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: 12 ten-gram weights

Answer: 16 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: 200 g - 20 g  = 180 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 180 g ÷ 15 g = 12 (10-gram weights)
 Step 5: 12 + 4  = 16 (5-gram weights)

 

 

 

Jeevini has 16 five-gram weights and 12 ten-gram weights



4)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 185 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 Panimalar got

Answer: 17 five-cent coins

Answer: 10 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: 185 cents - 35 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 + 7  = 17 (5-cent coins)

 

 Panimalar has 17 five-cent coins and 10 ten-cent coins.



5)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $74.80. There are 24 more 20-cent coins than 50-cent coins.

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

Answer: 124 twenty-cent coins

Answer: 100 fifty-cent coins




SOLUTION 1 :

There are 24 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 24 (20-cent coins) → 24 x 20
     = 480 cents
     = $4.80
 Step 2: $74.80 - $4.80  = $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 + 24  = 124 (20-cent coins)

 

 Nandini has 124 twenty-cent coins and 100 fifty-cent coins.



6)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 6 ten-gram weights

Answer: 8 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: 100 g - 10 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 + 2  = 8 (5-gram weights)

 

 

 

Poovazhagi has 8 five-gram weights and 6 ten-gram weights



7)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 180 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 Panimalar got

Answer: 18 five-cent coins

Answer: 9 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: 180 cents - 45 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 + 9  = 18 (5-cent coins)

 

 Panimalar has 18 five-cent coins and 9 ten-cent coins.



8)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $138.60. There are 28 more 20-cent coins than 50-cent coins.

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

Answer: 218 twenty-cent coins

Answer: 190 fifty-cent coins




SOLUTION 1 :

There are 28 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 28 (20-cent coins) → 28 x 20
     = 560 cents
     = $5.60
 Step 2: $138.60 - $5.60  = $133.00
 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: $133.00 ÷ $0.70 = 190 (50-cent coins)
 Step 5: 190 + 28  = 218 (20-cent coins)

 

 Swathi has 218 twenty-cent coins and 190 fifty-cent coins.



9)  

Tulasi 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 Tulasi 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)

 

 

 

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



10)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 180 cents. There are 3 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 Keerthi got

Answer: 14 five-cent coins

Answer: 11 ten-cent coins


SOLUTION 1 :

There are 3 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 3 five-cent coins → 3 x 5
     = 15 cents
 Step 2: 180 cents - 15 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 + 3  = 14 (5-cent coins)

 

 Keerthi has 14 five-cent coins and 11 ten-cent coins.