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)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $270.00. There are 20 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




2)  

Tamilselvi has some 5-gram and 10-gram weights. The weights add up to 175 g. There are 5 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




3)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 175 cents. There are 2 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 Poovazhagi got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $101.60. There are 18 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:_______________




5)  

Ovini has some 5-gram and 10-gram weights. The weights add up to 95 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




6)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 125 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 Nandini got

five-cent coins

ten-cent coins


Answer:_______________




7)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $195.00. There are 30 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:_______________




8)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 145 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:_______________




9)  

Thamarai has some 5-cent and 10-cent coins. The coins add up to 155 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 Thamarai got

five-cent coins

ten-cent coins


Answer:_______________




10)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $261.00. There are 10 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:_______________




 

1)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $270.00. There are 20 more 20-cent coins than 50-cent coins.

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

Answer: 400 twenty-cent coins

Answer: 380 fifty-cent coins




SOLUTION 1 :

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

 Step 1: The value of the 20 (20-cent coins) → 20 x 20
     = 400 cents
     = $4.00
 Step 2: $270.00 - $4.00  = $266.00
 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: $266.00 ÷ $0.70 = 380 (50-cent coins)
 Step 5: 380 + 20  = 400 (20-cent coins)

 

 Ponnalagu has 400 twenty-cent coins and 380 fifty-cent coins.



2)  

Tamilselvi has some 5-gram and 10-gram weights. The weights add up to 175 g. There are 5 more 5-gram weights than 10-gram weights.

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

Answer: 10 ten-gram weights

Answer: 15 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: 175 g - 25 g  = 150 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 150 g ÷ 15 g = 10 (10-gram weights)
 Step 5: 10 + 5  = 15 (5-gram weights)

 

 

 

Tamilselvi has 15 five-gram weights and 10 ten-gram weights



3)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 175 cents. There are 2 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 Poovazhagi got

Answer: 13 five-cent coins

Answer: 11 ten-cent coins


SOLUTION 1 :

There are 2 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 2 five-cent coins → 2 x 5
     = 10 cents
 Step 2: 175 cents - 10 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 + 2  = 13 (5-cent coins)

 

 Poovazhagi has 13 five-cent coins and 11 ten-cent coins.



4)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $101.60. There are 18 more 20-cent coins than 50-cent coins.

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

Answer: 158 twenty-cent coins

Answer: 140 fifty-cent coins




SOLUTION 1 :

There are 18 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 18 (20-cent coins) → 18 x 20
     = 360 cents
     = $3.60
 Step 2: $101.60 - $3.60  = $98.00
 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: $98.00 ÷ $0.70 = 140 (50-cent coins)
 Step 5: 140 + 18  = 158 (20-cent coins)

 

 Thamarai has 158 twenty-cent coins and 140 fifty-cent coins.



5)  

Ovini has some 5-gram and 10-gram weights. The weights add up to 95 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 5 ten-gram weights

Answer: 9 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: 95 g - 20 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 + 4  = 9 (5-gram weights)

 

 

 

Ovini has 9 five-gram weights and 5 ten-gram weights



6)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 125 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 Nandini got

Answer: 15 five-cent coins

Answer: 5 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: 125 cents - 50 cents  = 75 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: 75 ÷ 15 cents  = 5 (10-cent coins)
  5 + 10  = 15 (5-cent coins)

 

 Nandini has 15 five-cent coins and 5 ten-cent coins.



7)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $195.00. There are 30 more 20-cent coins than 50-cent coins.

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

Answer: 300 twenty-cent coins

Answer: 270 fifty-cent coins




SOLUTION 1 :

There are 30 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 30 (20-cent coins) → 30 x 20
     = 600 cents
     = $6.00
 Step 2: $195.00 - $6.00  = $189.00
 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: $189.00 ÷ $0.70 = 270 (50-cent coins)
 Step 5: 270 + 30  = 300 (20-cent coins)

 

 Ramani has 300 twenty-cent coins and 270 fifty-cent coins.



8)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 145 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: 9 ten-gram weights

Answer: 11 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: 145 g - 10 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 + 2  = 11 (5-gram weights)

 

 

 

Poovazhagi has 11 five-gram weights and 9 ten-gram weights



9)  

Thamarai has some 5-cent and 10-cent coins. The coins add up to 155 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 Thamarai got

Answer: 13 five-cent coins

Answer: 9 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: 155 cents - 20 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 + 4  = 13 (5-cent coins)

 

 Thamarai has 13 five-cent coins and 9 ten-cent coins.



10)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $261.00. There are 10 more 20-cent coins than 50-cent coins.

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

Answer: 380 twenty-cent coins

Answer: 370 fifty-cent coins




SOLUTION 1 :

There are 10 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 10 (20-cent coins) → 10 x 20
     = 200 cents
     = $2.00
 Step 2: $261.00 - $2.00  = $259.00
 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: $259.00 ÷ $0.70 = 370 (50-cent coins)
 Step 5: 370 + 10  = 380 (20-cent coins)

 

 Nandini has 380 twenty-cent coins and 370 fifty-cent coins.