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)  

Ramani has some 5-cent and 10-cent coins. The coins add up to 185 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 Ramani got

five-cent coins

ten-cent coins


Answer:_______________




2)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $277.60. There are 23 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:_______________




3)  

Pavi has some 5-gram and 10-gram weights. The weights add up to 90 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:_______________




4)  

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

five-cent coins

ten-cent coins


Answer:_______________




5)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $295.00. There are 5 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:_______________




6)  

Poongodi has some 5-gram and 10-gram weights. The weights add up to 110 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




7)  

Chithra has some 5-cent and 10-cent coins. The coins add up to 90 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 Chithra got

five-cent coins

ten-cent coins


Answer:_______________




8)  

Pavi has some 20-cent coins and 50-cent coins. The coins add up to $211.80. There are 9 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




9)  

Tulasi 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 Tulasi have

ten-gram weights

five-gram weights



Answer:_______________




10)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 140 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:_______________




 

1)  

Ramani has some 5-cent and 10-cent coins. The coins add up to 185 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 Ramani got

Answer: 17 five-cent coins

Answer: 10 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: 185 cents - 35 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 + 7  = 17 (5-cent coins)

 

 Ramani has 17 five-cent coins and 10 ten-cent coins.



2)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $277.60. There are 23 more 20-cent coins than 50-cent coins.

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

Answer: 413 twenty-cent coins

Answer: 390 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: $277.60 - $4.60  = $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 + 23  = 413 (20-cent coins)

 

 Swathi has 413 twenty-cent coins and 390 fifty-cent coins.



3)  

Pavi has some 5-gram and 10-gram weights. The weights add up to 90 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: 5 ten-gram weights

Answer: 8 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: 90 g - 15 g  = 75 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 75 g ÷ 15 g = 5 (10-gram weights)
 Step 5: 5 + 3  = 8 (5-gram weights)

 

 

 

Pavi has 8 five-gram weights and 5 ten-gram weights



4)  

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

Answer: 11 five-cent coins

Answer: 4 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: 95 cents - 35 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 + 7  = 11 (5-cent coins)

 

 Selvanayaki has 11 five-cent coins and 4 ten-cent coins.



5)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $295.00. There are 5 more 20-cent coins than 50-cent coins.

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

Answer: 425 twenty-cent coins

Answer: 420 fifty-cent coins




SOLUTION 1 :

There are 5 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 5 (20-cent coins) → 5 x 20
     = 100 cents
     = $1.00
 Step 2: $295.00 - $1.00  = $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 + 5  = 425 (20-cent coins)

 

 Swathi has 425 twenty-cent coins and 420 fifty-cent coins.



6)  

Poongodi has some 5-gram and 10-gram weights. The weights add up to 110 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 6 ten-gram weights

Answer: 10 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: 110 g - 20 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 + 4  = 10 (5-gram weights)

 

 

 

Poongodi has 10 five-gram weights and 6 ten-gram weights



7)  

Chithra has some 5-cent and 10-cent coins. The coins add up to 90 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 Chithra got

Answer: 8 five-cent coins

Answer: 5 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: 90 cents - 15 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 + 3  = 8 (5-cent coins)

 

 Chithra has 8 five-cent coins and 5 ten-cent coins.



8)  

Pavi has some 20-cent coins and 50-cent coins. The coins add up to $211.80. There are 9 more 20-cent coins than 50-cent coins.

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

Answer: 309 twenty-cent coins

Answer: 300 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: $211.80 - $1.80  = $210.00
 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: $210.00 ÷ $0.70 = 300 (50-cent coins)
 Step 5: 300 + 9  = 309 (20-cent coins)

 

 Pavi has 309 twenty-cent coins and 300 fifty-cent coins.



9)  

Tulasi 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 Tulasi 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)

 

 

 

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



10)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 140 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: 12 five-cent coins

Answer: 8 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: 140 cents - 20 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 + 4  = 12 (5-cent coins)

 

 Poovazhagi has 12 five-cent coins and 8 ten-cent coins.