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)  

Savithri has some 20-cent coins and 50-cent coins. The coins add up to $120.80. There are 9 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:_______________




2)  

Pavi 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 Pavi have

ten-gram weights

five-gram weights



Answer:_______________




3)  

Tulasi has some 5-cent and 10-cent coins. The coins add up to 190 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 Tulasi got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $267.80. There are 9 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




5)  

Savithri has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




6)  

Chellamal has some 5-cent and 10-cent coins. The coins add up to 190 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 Chellamal got

five-cent coins

ten-cent coins


Answer:_______________




7)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $278.60. There are 28 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




8)  

Panimalar 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 Panimalar have

ten-gram weights

five-gram weights



Answer:_______________




9)  

Chellamal has some 5-cent and 10-cent coins. The coins add up to 195 cents. There are 9 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 Chellamal got

five-cent coins

ten-cent coins


Answer:_______________




10)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $295.40. There are 7 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)  

Savithri has some 20-cent coins and 50-cent coins. The coins add up to $120.80. There are 9 more 20-cent coins than 50-cent coins.

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

Answer: 179 twenty-cent coins

Answer: 170 fifty-cent coins




SOLUTION 1 :

There are 9 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 9 (20-cent coins) → 9 x 20
     = 180 cents
     = $1.80
 Step 2: $120.80 - $1.80  = $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 + 9  = 179 (20-cent coins)

 

 Savithri has 179 twenty-cent coins and 170 fifty-cent coins.



2)  

Pavi 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 Pavi 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)

 

 

 

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



3)  

Tulasi has some 5-cent and 10-cent coins. The coins add up to 190 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 Tulasi got

Answer: 14 five-cent coins

Answer: 12 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: 190 cents - 10 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 + 2  = 14 (5-cent coins)

 

 Tulasi has 14 five-cent coins and 12 ten-cent coins.



4)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $267.80. There are 9 more 20-cent coins than 50-cent coins.

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

Answer: 389 twenty-cent coins

Answer: 380 fifty-cent coins




SOLUTION 1 :

There are 9 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 9 (20-cent coins) → 9 x 20
     = 180 cents
     = $1.80
 Step 2: $267.80 - $1.80  = $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 + 9  = 389 (20-cent coins)

 

 Chithra has 389 twenty-cent coins and 380 fifty-cent coins.



5)  

Savithri has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 6 ten-gram weights

Answer: 8 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: 100 g - 10 g  = 90 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 90 g ÷ 15 g = 6 (10-gram weights)
 Step 5: 6 + 2  = 8 (5-gram weights)

 

 

 

Savithri has 8 five-gram weights and 6 ten-gram weights



6)  

Chellamal has some 5-cent and 10-cent coins. The coins add up to 190 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 Chellamal got

Answer: 18 five-cent coins

Answer: 10 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: 190 cents - 40 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 + 8  = 18 (5-cent coins)

 

 Chellamal has 18 five-cent coins and 10 ten-cent coins.



7)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $278.60. There are 28 more 20-cent coins than 50-cent coins.

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

Answer: 418 twenty-cent coins

Answer: 390 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: $278.60 - $5.60  = $273.00
 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: $273.00 ÷ $0.70 = 390 (50-cent coins)
 Step 5: 390 + 28  = 418 (20-cent coins)

 

 Chithra has 418 twenty-cent coins and 390 fifty-cent coins.



8)  

Panimalar 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 Panimalar 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)

 

 

 

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



9)  

Chellamal has some 5-cent and 10-cent coins. The coins add up to 195 cents. There are 9 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 Chellamal got

Answer: 19 five-cent coins

Answer: 10 ten-cent coins


SOLUTION 1 :

There are 9 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 9 five-cent coins → 9 x 5
     = 45 cents
 Step 2: 195 cents - 45 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 + 9  = 19 (5-cent coins)

 

 Chellamal has 19 five-cent coins and 10 ten-cent coins.



10)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $295.40. There are 7 more 20-cent coins than 50-cent coins.

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

Answer: 427 twenty-cent coins

Answer: 420 fifty-cent coins




SOLUTION 1 :

There are 7 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 7 (20-cent coins) → 7 x 20
     = 140 cents
     = $1.40
 Step 2: $295.40 - $1.40  = $294.00
 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: $294.00 ÷ $0.70 = 420 (50-cent coins)
 Step 5: 420 + 7  = 427 (20-cent coins)

 

 Nandini has 427 twenty-cent coins and 420 fifty-cent coins.