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)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 215 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 Keerthi got

five-cent coins

ten-cent coins


Answer:_______________




2)  

Panimalar has some 20-cent coins and 50-cent coins. The coins add up to $141.60. There are 8 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




3)  

Ponnalagu has some 5-gram and 10-gram weights. The weights add up to 80 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




4)  

Parveen has some 5-cent and 10-cent coins. The coins add up to 105 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 Parveen got

five-cent coins

ten-cent coins


Answer:_______________




5)  

Haritha has some 20-cent coins and 50-cent coins. The coins add up to $232.00. There are 5 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




6)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 190 g. There are 5 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




7)  

Swathi has some 5-cent and 10-cent coins. The coins add up to 160 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 Swathi got

five-cent coins

ten-cent coins


Answer:_______________




8)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $205.20. There are 11 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:_______________




9)  

Keerthi has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 5 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:_______________




10)  

Chellamal 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 Chellamal got

five-cent coins

ten-cent coins


Answer:_______________




 

1)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 215 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 Keerthi got

Answer: 21 five-cent coins

Answer: 11 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: 215 cents - 50 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 + 10  = 21 (5-cent coins)

 

 Keerthi has 21 five-cent coins and 11 ten-cent coins.



2)  

Panimalar has some 20-cent coins and 50-cent coins. The coins add up to $141.60. There are 8 more 20-cent coins than 50-cent coins.

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

Answer: 208 twenty-cent coins

Answer: 200 fifty-cent coins




SOLUTION 1 :

There are 8 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 8 (20-cent coins) → 8 x 20
     = 160 cents
     = $1.60
 Step 2: $141.60 - $1.60  = $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 + 8  = 208 (20-cent coins)

 

 Panimalar has 208 twenty-cent coins and 200 fifty-cent coins.



3)  

Ponnalagu has some 5-gram and 10-gram weights. The weights add up to 80 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 4 ten-gram weights

Answer: 8 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: 80 g - 20 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 + 4  = 8 (5-gram weights)

 

 

 

Ponnalagu has 8 five-gram weights and 4 ten-gram weights



4)  

Parveen has some 5-cent and 10-cent coins. The coins add up to 105 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 Parveen got

Answer: 11 five-cent coins

Answer: 5 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: 105 cents - 30 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 + 6  = 11 (5-cent coins)

 

 Parveen has 11 five-cent coins and 5 ten-cent coins.



5)  

Haritha has some 20-cent coins and 50-cent coins. The coins add up to $232.00. There are 5 more 20-cent coins than 50-cent coins.

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

Answer: 335 twenty-cent coins

Answer: 330 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: $232.00 - $1.00  = $231.00
 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: $231.00 ÷ $0.70 = 330 (50-cent coins)
 Step 5: 330 + 5  = 335 (20-cent coins)

 

 Haritha has 335 twenty-cent coins and 330 fifty-cent coins.



6)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 190 g. There are 5 more 5-gram weights than 10-gram weights.

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

Answer: 11 ten-gram weights

Answer: 16 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: 190 g - 25 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 + 5  = 16 (5-gram weights)

 

 

 

Poovazhagi has 16 five-gram weights and 11 ten-gram weights



7)  

Swathi has some 5-cent and 10-cent coins. The coins add up to 160 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 Swathi got

Answer: 12 five-cent coins

Answer: 10 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: 160 cents - 10 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 + 2  = 12 (5-cent coins)

 

 Swathi has 12 five-cent coins and 10 ten-cent coins.



8)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $205.20. There are 11 more 20-cent coins than 50-cent coins.

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

Answer: 301 twenty-cent coins

Answer: 290 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: $205.20 - $2.20  = $203.00
 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: $203.00 ÷ $0.70 = 290 (50-cent coins)
 Step 5: 290 + 11  = 301 (20-cent coins)

 

 Chithra has 301 twenty-cent coins and 290 fifty-cent coins.



9)  

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

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

Answer: 5 ten-gram weights

Answer: 10 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: 100 g - 25 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 + 5  = 10 (5-gram weights)

 

 

 

Keerthi has 10 five-gram weights and 5 ten-gram weights



10)  

Chellamal 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 Chellamal 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)

 

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