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)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $144.60. There are 23 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:_______________




2)  

Poongodi has some 5-cent and 10-cent coins. The coins add up to 145 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 Poongodi got

five-cent coins

ten-cent coins


Answer:_______________




3)  

Keerthi has some 5-gram and 10-gram weights. The weights add up to 70 g. There are 2 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:_______________




4)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $145.60. 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:_______________




5)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 95 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 Poovazhagi got

five-cent coins

ten-cent coins


Answer:_______________




6)  

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:_______________




7)  

Ovini has some 20-cent coins and 50-cent coins. The coins add up to $172.60. There are 23 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




8)  

Amutha has some 5-cent and 10-cent coins. The coins add up to 75 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 Amutha got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 120 g. There are 3 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:_______________




10)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $73.60. There are 18 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:_______________




 

1)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $144.60. There are 23 more 20-cent coins than 50-cent coins.

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

Answer: 223 twenty-cent coins

Answer: 200 fifty-cent coins




SOLUTION 1 :

There are 23 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 23 (20-cent coins) → 23 x 20
     = 460 cents
     = $4.60
 Step 2: $144.60 - $4.60  = $140.00
 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: $140.00 ÷ $0.70 = 200 (50-cent coins)
 Step 5: 200 + 23  = 223 (20-cent coins)

 

 Kumutha has 223 twenty-cent coins and 200 fifty-cent coins.



2)  

Poongodi has some 5-cent and 10-cent coins. The coins add up to 145 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 Poongodi got

Answer: 15 five-cent coins

Answer: 7 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: 145 cents - 40 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 + 8  = 15 (5-cent coins)

 

 Poongodi has 15 five-cent coins and 7 ten-cent coins.



3)  

Keerthi has some 5-gram and 10-gram weights. The weights add up to 70 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 4 ten-gram weights

Answer: 6 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: 70 g - 10 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 + 2  = 6 (5-gram weights)

 

 

 

Keerthi has 6 five-gram weights and 4 ten-gram weights



4)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $145.60. There are 28 more 20-cent coins than 50-cent coins.

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

Answer: 228 twenty-cent coins

Answer: 200 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: $145.60 - $5.60  = $140.00
 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: $140.00 ÷ $0.70 = 200 (50-cent coins)
 Step 5: 200 + 28  = 228 (20-cent coins)

 

 Swathi has 228 twenty-cent coins and 200 fifty-cent coins.



5)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 95 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 Poovazhagi got

Answer: 9 five-cent coins

Answer: 5 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: 95 cents - 20 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 + 4  = 9 (5-cent coins)

 

 Poovazhagi has 9 five-cent coins and 5 ten-cent coins.



6)  

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



7)  

Ovini has some 20-cent coins and 50-cent coins. The coins add up to $172.60. There are 23 more 20-cent coins than 50-cent coins.

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

Answer: 263 twenty-cent coins

Answer: 240 fifty-cent coins




SOLUTION 1 :

There are 23 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 23 (20-cent coins) → 23 x 20
     = 460 cents
     = $4.60
 Step 2: $172.60 - $4.60  = $168.00
 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: $168.00 ÷ $0.70 = 240 (50-cent coins)
 Step 5: 240 + 23  = 263 (20-cent coins)

 

 Ovini has 263 twenty-cent coins and 240 fifty-cent coins.



8)  

Amutha has some 5-cent and 10-cent coins. The coins add up to 75 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 Amutha got

Answer: 7 five-cent coins

Answer: 4 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: 75 cents - 15 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 + 3  = 7 (5-cent coins)

 

 Amutha has 7 five-cent coins and 4 ten-cent coins.



9)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 120 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 7 ten-gram weights

Answer: 10 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: 120 g - 15 g  = 105 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 105 g ÷ 15 g = 7 (10-gram weights)
 Step 5: 7 + 3  = 10 (5-gram weights)

 

 

 

Mithra has 10 five-gram weights and 7 ten-gram weights



10)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $73.60. There are 18 more 20-cent coins than 50-cent coins.

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

Answer: 118 twenty-cent coins

Answer: 100 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: $73.60 - $3.60  = $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 + 18  = 118 (20-cent coins)

 

 Kumutha has 118 twenty-cent coins and 100 fifty-cent coins.