Scroll:Operations >> Numbers >> 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)  

Poongodi 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 Poongodi have

ten-gram weights

five-gram weights



Answer:_______________




2)  

Poovazhagi has some 20-cent coins and 50-cent coins. The coins add up to $165.60. There are 23 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




3)  

Savithri has some 5-cent and 10-cent coins. The coins add up to 205 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 Savithri got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Selvanayaki 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 Selvanayaki have

ten-gram weights

five-gram weights



Answer:_______________




5)  

Poongodi has some 20-cent coins and 50-cent coins. The coins add up to $133.80. There are 4 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




6)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 100 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 Poovazhagi got

five-cent coins

ten-cent coins


Answer:_______________




7)  

Jeevini 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 Jeevini have

ten-gram weights

five-gram weights



Answer:_______________




8)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $158.80. There are 24 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:_______________




9)  

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

five-cent coins

ten-cent coins


Answer:_______________




10)  

Kumutha 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 Kumutha have

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Poongodi 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 Poongodi 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)

 

 

 

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



2)  

Poovazhagi has some 20-cent coins and 50-cent coins. The coins add up to $165.60. There are 23 more 20-cent coins than 50-cent coins.

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

Answer: 253 twenty-cent coins

Answer: 230 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: $165.60 - $4.60  = $161.00
 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: $161.00 ÷ $0.70 = 230 (50-cent coins)
 Step 5: 230 + 23  = 253 (20-cent coins)

 

 Poovazhagi has 253 twenty-cent coins and 230 fifty-cent coins.



3)  

Savithri has some 5-cent and 10-cent coins. The coins add up to 205 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 Savithri got

Answer: 19 five-cent coins

Answer: 11 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: 205 cents - 40 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 + 8  = 19 (5-cent coins)

 

 Savithri has 19 five-cent coins and 11 ten-cent coins.



4)  

Selvanayaki 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 Selvanayaki 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)

 

 

 

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



5)  

Poongodi has some 20-cent coins and 50-cent coins. The coins add up to $133.80. There are 4 more 20-cent coins than 50-cent coins.

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

Answer: 194 twenty-cent coins

Answer: 190 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: $133.80 - $0.80  = $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 + 4  = 194 (20-cent coins)

 

 Poongodi has 194 twenty-cent coins and 190 fifty-cent coins.



6)  

Poovazhagi has some 5-cent and 10-cent coins. The coins add up to 100 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 Poovazhagi got

Answer: 12 five-cent coins

Answer: 4 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: 100 cents - 40 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 + 8  = 12 (5-cent coins)

 

 Poovazhagi has 12 five-cent coins and 4 ten-cent coins.



7)  

Jeevini 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 Jeevini 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)

 

 

 

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



8)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $158.80. There are 24 more 20-cent coins than 50-cent coins.

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

Answer: 244 twenty-cent coins

Answer: 220 fifty-cent coins




SOLUTION 1 :

There are 24 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 24 (20-cent coins) → 24 x 20
     = 480 cents
     = $4.80
 Step 2: $158.80 - $4.80  = $154.00
 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: $154.00 ÷ $0.70 = 220 (50-cent coins)
 Step 5: 220 + 24  = 244 (20-cent coins)

 

 Kumutha has 244 twenty-cent coins and 220 fifty-cent coins.



9)  

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

Answer: 16 five-cent coins

Answer: 12 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: 200 cents - 20 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 + 4  = 16 (5-cent coins)

 

 Nandini has 16 five-cent coins and 12 ten-cent coins.



10)  

Kumutha 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 Kumutha 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)

 

 

 

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