Scroll:Heuristics >> Grouping Method >> 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 20-cent coins and 50-cent coins. The coins add up to $135.20. There are 11 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




2)  

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

five-cent coins

ten-cent coins


Answer:_______________




3)  

Thamarai has some 5-gram and 10-gram weights. The weights add up to 180 g. There are 3 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




4)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $158.80. There are 24 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




5)  

Ponnalagu has some 5-cent and 10-cent coins. The coins add up to 85 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 Ponnalagu got

five-cent coins

ten-cent coins


Answer:_______________




6)  

Swathi 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 Swathi have

ten-gram weights

five-gram weights



Answer:_______________




7)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $283.40. There are 17 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:_______________




8)  

Savithri 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 Savithri got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Pavi 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 Pavi have

ten-gram weights

five-gram weights



Answer:_______________




10)  

Poongodi has some 20-cent coins and 50-cent coins. The coins add up to $180.00. There are 25 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




 

1)  

Chellamal has some 20-cent coins and 50-cent coins. The coins add up to $135.20. There are 11 more 20-cent coins than 50-cent coins.

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

Answer: 201 twenty-cent coins

Answer: 190 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: $135.20 - $2.20  = $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 + 11  = 201 (20-cent coins)

 

 Chellamal has 201 twenty-cent coins and 190 fifty-cent coins.



2)  

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

Answer: 11 five-cent coins

Answer: 7 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: 125 cents - 20 cents  = 105 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: 105 ÷ 15 cents  = 7 (10-cent coins)
  7 + 4  = 11 (5-cent coins)

 

 Nandini has 11 five-cent coins and 7 ten-cent coins.



3)  

Thamarai has some 5-gram and 10-gram weights. The weights add up to 180 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 11 ten-gram weights

Answer: 14 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: 180 g - 15 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 + 3  = 14 (5-gram weights)

 

 

 

Thamarai has 14 five-gram weights and 11 ten-gram weights



4)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $158.80. There are 24 more 20-cent coins than 50-cent coins.

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

Answer: 244 twenty-cent coins

Answer: 220 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: $158.80 - $4.80  = $154.00
 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: $154.00 ÷ $0.70 = 220 (50-cent coins)
 Step 5: 220 + 24  = 244 (20-cent coins)

 

 Kumutha has 244 twenty-cent coins and 220 fifty-cent coins.



5)  

Ponnalagu has some 5-cent and 10-cent coins. The coins add up to 85 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 Ponnalagu got

Answer: 7 five-cent coins

Answer: 5 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: 85 cents - 10 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 + 2  = 7 (5-cent coins)

 

 Ponnalagu has 7 five-cent coins and 5 ten-cent coins.



6)  

Swathi 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 Swathi 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)

 

 

 

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



7)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $283.40. There are 17 more 20-cent coins than 50-cent coins.

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

Answer: 417 twenty-cent coins

Answer: 400 fifty-cent coins




SOLUTION 1 :

There are 17 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 17 (20-cent coins) → 17 x 20
     = 340 cents
     = $3.40
 Step 2: $283.40 - $3.40  = $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 + 17  = 417 (20-cent coins)

 

 Tulasi has 417 twenty-cent coins and 400 fifty-cent coins.



8)  

Savithri 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 Savithri 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)

 

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



9)  

Pavi 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 Pavi 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)

 

 

 

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



10)  

Poongodi has some 20-cent coins and 50-cent coins. The coins add up to $180.00. There are 25 more 20-cent coins than 50-cent coins.

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

Answer: 275 twenty-cent coins

Answer: 250 fifty-cent coins




SOLUTION 1 :

There are 25 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 25 (20-cent coins) → 25 x 20
     = 500 cents
     = $5.00
 Step 2: $180.00 - $5.00  = $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 + 25  = 275 (20-cent coins)

 

 Poongodi has 275 twenty-cent coins and 250 fifty-cent coins.