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)  

Tamilselvi has some 5-gram and 10-gram weights. The weights add up to 220 g. There are 5 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




2)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 115 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 Tamilselvi got

five-cent coins

ten-cent coins


Answer:_______________




3)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $295.20. There are 6 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:_______________




4)  

Ponnalagu has some 5-gram and 10-gram weights. The weights add up to 165 g. There are 3 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:_______________




5)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 155 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 Poovazhagi got

five-cent coins

ten-cent coins


Answer:_______________




6)  

Tamilselvi has some 20-cent coins and 50-cent coins. The coins add up to $175.80. There are 4 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




7)  

Ramani has some 5-gram and 10-gram weights. The weights add up to 175 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




8)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 135 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 Tamilselvi got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Parveen has some 20-cent coins and 50-cent coins. The coins add up to $136.00. There are 15 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




10)  

Savithri 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 Savithri have

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Tamilselvi has some 5-gram and 10-gram weights. The weights add up to 220 g. There are 5 more 5-gram weights than 10-gram weights.

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

Answer: 13 ten-gram weights

Answer: 18 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: 220 g - 25 g  = 195 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 195 g ÷ 15 g = 13 (10-gram weights)
 Step 5: 13 + 5  = 18 (5-gram weights)

 

 

 

Tamilselvi has 18 five-gram weights and 13 ten-gram weights



2)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 115 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 Tamilselvi got

Answer: 13 five-cent coins

Answer: 5 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: 115 cents - 40 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 + 8  = 13 (5-cent coins)

 

 Tamilselvi has 13 five-cent coins and 5 ten-cent coins.



3)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $295.20. There are 6 more 20-cent coins than 50-cent coins.

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

Answer: 426 twenty-cent coins

Answer: 420 fifty-cent coins




SOLUTION 1 :

There are 6 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 6 (20-cent coins) → 6 x 20
     = 120 cents
     = $1.20
 Step 2: $295.20 - $1.20  = $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 + 6  = 426 (20-cent coins)

 

 Tulasi has 426 twenty-cent coins and 420 fifty-cent coins.



4)  

Ponnalagu has some 5-gram and 10-gram weights. The weights add up to 165 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 10 ten-gram weights

Answer: 13 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: 165 g - 15 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 + 3  = 13 (5-gram weights)

 

 

 

Ponnalagu has 13 five-gram weights and 10 ten-gram weights



5)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 155 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 Poovazhagi got

Answer: 15 five-cent coins

Answer: 8 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: 155 cents - 35 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 + 7  = 15 (5-cent coins)

 

 Poovazhagi has 15 five-cent coins and 8 ten-cent coins.



6)  

Tamilselvi has some 20-cent coins and 50-cent coins. The coins add up to $175.80. There are 4 more 20-cent coins than 50-cent coins.

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

Answer: 254 twenty-cent coins

Answer: 250 fifty-cent coins




SOLUTION 1 :

There are 4 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 4 (20-cent coins) → 4 x 20
     = 80 cents
     = $0.80
 Step 2: $175.80 - $0.80  = $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 + 4  = 254 (20-cent coins)

 

 Tamilselvi has 254 twenty-cent coins and 250 fifty-cent coins.



7)  

Ramani has some 5-gram and 10-gram weights. The weights add up to 175 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 11 ten-gram weights

Answer: 13 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: 175 g - 10 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 + 2  = 13 (5-gram weights)

 

 

 

Ramani has 13 five-gram weights and 11 ten-gram weights



8)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 135 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 Tamilselvi got

Answer: 15 five-cent coins

Answer: 6 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: 135 cents - 45 cents  = 90 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: 90 ÷ 15 cents  = 6 (10-cent coins)
  6 + 9  = 15 (5-cent coins)

 

 Tamilselvi has 15 five-cent coins and 6 ten-cent coins.



9)  

Parveen has some 20-cent coins and 50-cent coins. The coins add up to $136.00. There are 15 more 20-cent coins than 50-cent coins.

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

Answer: 205 twenty-cent coins

Answer: 190 fifty-cent coins




SOLUTION 1 :

There are 15 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 15 (20-cent coins) → 15 x 20
     = 300 cents
     = $3.00
 Step 2: $136.00 - $3.00  = $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 + 15  = 205 (20-cent coins)

 

 Parveen has 205 twenty-cent coins and 190 fifty-cent coins.



10)  

Savithri 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 Savithri 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)

 

 

 

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