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 $221.20. There are 21 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)  

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

five-cent coins

ten-cent coins


Answer:_______________




3)  

Chellamal has some 5-gram and 10-gram weights. The weights add up to 85 g. There are 5 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




4)  

Savithri has some 20-cent coins and 50-cent coins. The coins add up to $180.60. There are 28 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




5)  

Swathi has some 5-cent and 10-cent coins. The coins add up to 215 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 Swathi got

five-cent coins

ten-cent coins


Answer:_______________




6)  

Keerthi 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 Keerthi have

ten-gram weights

five-gram weights



Answer:_______________




7)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $122.60. There are 18 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:_______________




8)  

Poovazhagi 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 Poovazhagi got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Tulasi has some 5-gram and 10-gram weights. The weights add up to 195 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)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $122.20. There are 16 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:_______________




 

1)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $221.20. There are 21 more 20-cent coins than 50-cent coins.

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

Answer: 331 twenty-cent coins

Answer: 310 fifty-cent coins




SOLUTION 1 :

There are 21 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 21 (20-cent coins) → 21 x 20
     = 420 cents
     = $4.20
 Step 2: $221.20 - $4.20  = $217.00
 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: $217.00 ÷ $0.70 = 310 (50-cent coins)
 Step 5: 310 + 21  = 331 (20-cent coins)

 

 Ponnalagu has 331 twenty-cent coins and 310 fifty-cent coins.



2)  

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

Answer: 15 five-cent coins

Answer: 8 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: 155 cents - 35 cents  = 120 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: 120 ÷ 15 cents  = 8 (10-cent coins)
  8 + 7  = 15 (5-cent coins)

 

 Poongodi has 15 five-cent coins and 8 ten-cent coins.



3)  

Chellamal has some 5-gram and 10-gram weights. The weights add up to 85 g. There are 5 more 5-gram weights than 10-gram weights.

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

Answer: 4 ten-gram weights

Answer: 9 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: 85 g - 25 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 + 5  = 9 (5-gram weights)

 

 

 

Chellamal has 9 five-gram weights and 4 ten-gram weights



4)  

Savithri has some 20-cent coins and 50-cent coins. The coins add up to $180.60. There are 28 more 20-cent coins than 50-cent coins.

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

Answer: 278 twenty-cent coins

Answer: 250 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: $180.60 - $5.60  = $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 + 28  = 278 (20-cent coins)

 

 Savithri has 278 twenty-cent coins and 250 fifty-cent coins.



5)  

Swathi has some 5-cent and 10-cent coins. The coins add up to 215 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 Swathi got

Answer: 19 five-cent coins

Answer: 12 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: 215 cents - 35 cents  = 180 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: 180 ÷ 15 cents  = 12 (10-cent coins)
  12 + 7  = 19 (5-cent coins)

 

 Swathi has 19 five-cent coins and 12 ten-cent coins.



6)  

Keerthi 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 Keerthi 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)

 

 

 

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



7)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $122.60. There are 18 more 20-cent coins than 50-cent coins.

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

Answer: 188 twenty-cent coins

Answer: 170 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: $122.60 - $3.60  = $119.00
 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: $119.00 ÷ $0.70 = 170 (50-cent coins)
 Step 5: 170 + 18  = 188 (20-cent coins)

 

 Ponnalagu has 188 twenty-cent coins and 170 fifty-cent coins.



8)  

Poovazhagi 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 Poovazhagi 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)

 

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



9)  

Tulasi has some 5-gram and 10-gram weights. The weights add up to 195 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: 12 ten-gram weights

Answer: 15 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: 195 g - 15 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 + 3  = 15 (5-gram weights)

 

 

 

Tulasi has 15 five-gram weights and 12 ten-gram weights



10)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $122.20. There are 16 more 20-cent coins than 50-cent coins.

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

Answer: 186 twenty-cent coins

Answer: 170 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: $122.20 - $3.20  = $119.00
 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: $119.00 ÷ $0.70 = 170 (50-cent coins)
 Step 5: 170 + 16  = 186 (20-cent coins)

 

 Ponnalagu has 186 twenty-cent coins and 170 fifty-cent coins.