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 20-cent coins and 50-cent coins. The coins add up to $123.80. There are 24 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:_______________




2)  

Swathi 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 Swathi have

ten-gram weights

five-gram weights



Answer:_______________




3)  

Ovini has some 5-cent and 10-cent coins. The coins add up to 200 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 Ovini got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Jeevini has some 20-cent coins and 50-cent coins. The coins add up to $219.80. There are 14 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




5)  

Swathi has some 5-gram and 10-gram weights. The weights add up to 160 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




6)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 110 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 Poovazhagi got

five-cent coins

ten-cent coins


Answer:_______________




7)  

Indra has some 20-cent coins and 50-cent coins. The coins add up to $79.00. There are 10 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)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 145 g. There are 5 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




9)  

Tulasi has some 5-cent and 10-cent coins. The coins add up to 195 cents. There are 6 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 Tulasi got

five-cent coins

ten-cent coins


Answer:_______________




10)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $178.00. There are 15 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)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $123.80. There are 24 more 20-cent coins than 50-cent coins.

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

Answer: 194 twenty-cent coins

Answer: 170 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: $123.80 - $4.80  = $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 + 24  = 194 (20-cent coins)

 

 Amutha has 194 twenty-cent coins and 170 fifty-cent coins.



2)  

Swathi 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 Swathi 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)

 

 

 

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



3)  

Ovini has some 5-cent and 10-cent coins. The coins add up to 200 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 Ovini got

Answer: 20 five-cent coins

Answer: 10 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: 200 cents - 50 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 + 10  = 20 (5-cent coins)

 

 Ovini has 20 five-cent coins and 10 ten-cent coins.



4)  

Jeevini has some 20-cent coins and 50-cent coins. The coins add up to $219.80. There are 14 more 20-cent coins than 50-cent coins.

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

Answer: 324 twenty-cent coins

Answer: 310 fifty-cent coins




SOLUTION 1 :

There are 14 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 14 (20-cent coins) → 14 x 20
     = 280 cents
     = $2.80
 Step 2: $219.80 - $2.80  = $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 + 14  = 324 (20-cent coins)

 

 Jeevini has 324 twenty-cent coins and 310 fifty-cent coins.



5)  

Swathi has some 5-gram and 10-gram weights. The weights add up to 160 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 10 ten-gram weights

Answer: 12 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: 160 g - 10 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 + 2  = 12 (5-gram weights)

 

 

 

Swathi has 12 five-gram weights and 10 ten-gram weights



6)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 110 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 Poovazhagi got

Answer: 12 five-cent coins

Answer: 5 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: 110 cents - 35 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 + 7  = 12 (5-cent coins)

 

 Poovazhagi has 12 five-cent coins and 5 ten-cent coins.



7)  

Indra has some 20-cent coins and 50-cent coins. The coins add up to $79.00. There are 10 more 20-cent coins than 50-cent coins.

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

Answer: 120 twenty-cent coins

Answer: 110 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: $79.00 - $2.00  = $77.00
 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: $77.00 ÷ $0.70 = 110 (50-cent coins)
 Step 5: 110 + 10  = 120 (20-cent coins)

 

 Indra has 120 twenty-cent coins and 110 fifty-cent coins.



8)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 145 g. There are 5 more 5-gram weights than 10-gram weights.

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

Answer: 8 ten-gram weights

Answer: 13 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: 145 g - 25 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 + 5  = 13 (5-gram weights)

 

 

 

Mithra has 13 five-gram weights and 8 ten-gram weights



9)  

Tulasi has some 5-cent and 10-cent coins. The coins add up to 195 cents. There are 6 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 Tulasi got

Answer: 17 five-cent coins

Answer: 11 ten-cent coins


SOLUTION 1 :

There are 6 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 6 five-cent coins → 6 x 5
     = 30 cents
 Step 2: 195 cents - 30 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 + 6  = 17 (5-cent coins)

 

 Tulasi has 17 five-cent coins and 11 ten-cent coins.



10)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $178.00. There are 15 more 20-cent coins than 50-cent coins.

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

Answer: 265 twenty-cent coins

Answer: 250 fifty-cent coins




SOLUTION 1 :

There are 15 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 15 (20-cent coins) → 15 x 20
     = 300 cents
     = $3.00
 Step 2: $178.00 - $3.00  = $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 + 15  = 265 (20-cent coins)

 

 Thamarai has 265 twenty-cent coins and 250 fifty-cent coins.