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 200 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 Keerthi got

five-cent coins

ten-cent coins


Answer:_______________




2)  

Ponnalagu 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 Ponnalagu have

ten-gram weights

five-gram weights



Answer:_______________




3)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $83.00. There are 30 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:_______________




4)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 225 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 Panimalar got

five-cent coins

ten-cent coins


Answer:_______________




5)  

Keerthi has some 5-gram and 10-gram weights. The weights add up to 130 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:_______________




6)  

Parveen has some 20-cent coins and 50-cent coins. The coins add up to $136.40. There are 17 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:_______________




7)  

Tamilselvi 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 Tamilselvi got

five-cent coins

ten-cent coins


Answer:_______________




8)  

Nandini 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 Nandini have

ten-gram weights

five-gram weights



Answer:_______________




9)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $212.20. There are 11 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




10)  

Tulasi 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 Tulasi got

five-cent coins

ten-cent coins


Answer:_______________




 

1)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 200 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 Keerthi got

Answer: 18 five-cent coins

Answer: 11 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: 200 cents - 35 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 + 7  = 18 (5-cent coins)

 

 Keerthi has 18 five-cent coins and 11 ten-cent coins.



2)  

Ponnalagu 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 Ponnalagu 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)

 

 

 

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



3)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $83.00. There are 30 more 20-cent coins than 50-cent coins.

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

Answer: 140 twenty-cent coins

Answer: 110 fifty-cent coins




SOLUTION 1 :

There are 30 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 30 (20-cent coins) → 30 x 20
     = 600 cents
     = $6.00
 Step 2: $83.00 - $6.00  = $77.00
 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: $77.00 ÷ $0.70 = 110 (50-cent coins)
 Step 5: 110 + 30  = 140 (20-cent coins)

 

 Kumutha has 140 twenty-cent coins and 110 fifty-cent coins.



4)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 225 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 Panimalar got

Answer: 21 five-cent coins

Answer: 12 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: 225 cents - 45 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 + 9  = 21 (5-cent coins)

 

 Panimalar has 21 five-cent coins and 12 ten-cent coins.



5)  

Keerthi has some 5-gram and 10-gram weights. The weights add up to 130 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: 7 ten-gram weights

Answer: 12 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: 130 g - 25 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 + 5  = 12 (5-gram weights)

 

 

 

Keerthi has 12 five-gram weights and 7 ten-gram weights



6)  

Parveen has some 20-cent coins and 50-cent coins. The coins add up to $136.40. There are 17 more 20-cent coins than 50-cent coins.

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

Answer: 207 twenty-cent coins

Answer: 190 fifty-cent coins




SOLUTION 1 :

There are 17 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 17 (20-cent coins) → 17 x 20
     = 340 cents
     = $3.40
 Step 2: $136.40 - $3.40  = $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 + 17  = 207 (20-cent coins)

 

 Parveen has 207 twenty-cent coins and 190 fifty-cent coins.



7)  

Tamilselvi 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 Tamilselvi 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)

 

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



8)  

Nandini 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 Nandini 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)

 

 

 

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



9)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $212.20. There are 11 more 20-cent coins than 50-cent coins.

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

Answer: 311 twenty-cent coins

Answer: 300 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: $212.20 - $2.20  = $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 + 11  = 311 (20-cent coins)

 

 Thamarai has 311 twenty-cent coins and 300 fifty-cent coins.



10)  

Tulasi 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 Tulasi 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)

 

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