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)  

Swathi 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 Swathi have

ten-gram weights

five-gram weights



Answer:_______________




2)  

Indra has some 5-cent and 10-cent coins. The coins add up to 150 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 Indra got

five-cent coins

ten-cent coins


Answer:_______________




3)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $147.60. There are 3 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)  

Indra 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 Indra have

ten-gram weights

five-gram weights



Answer:_______________




5)  

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

five-cent coins

ten-cent coins


Answer:_______________




6)  

Pavi has some 20-cent coins and 50-cent coins. The coins add up to $166.00. There are 25 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:_______________




7)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 140 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




8)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 130 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 Nandini got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $186.80. There are 24 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:_______________




10)  

Ramani has some 5-gram and 10-gram weights. The weights add up to 125 g. There are 4 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:_______________




 

1)  

Swathi 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 Swathi 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)

 

 

 

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



2)  

Indra has some 5-cent and 10-cent coins. The coins add up to 150 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 Indra got

Answer: 14 five-cent coins

Answer: 8 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: 150 cents - 30 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 + 6  = 14 (5-cent coins)

 

 Indra has 14 five-cent coins and 8 ten-cent coins.



3)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $147.60. There are 3 more 20-cent coins than 50-cent coins.

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

Answer: 213 twenty-cent coins

Answer: 210 fifty-cent coins




SOLUTION 1 :

There are 3 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 3 (20-cent coins) → 3 x 20
     = 60 cents
     = $0.60
 Step 2: $147.60 - $0.60  = $147.00
 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: $147.00 ÷ $0.70 = 210 (50-cent coins)
 Step 5: 210 + 3  = 213 (20-cent coins)

 

 Tulasi has 213 twenty-cent coins and 210 fifty-cent coins.



4)  

Indra 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 Indra 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)

 

 

 

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



5)  

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

Answer: 10 five-cent coins

Answer: 4 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: 90 cents - 30 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 + 6  = 10 (5-cent coins)

 

 Nandini has 10 five-cent coins and 4 ten-cent coins.



6)  

Pavi has some 20-cent coins and 50-cent coins. The coins add up to $166.00. There are 25 more 20-cent coins than 50-cent coins.

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

Answer: 255 twenty-cent coins

Answer: 230 fifty-cent coins




SOLUTION 1 :

There are 25 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 25 (20-cent coins) → 25 x 20
     = 500 cents
     = $5.00
 Step 2: $166.00 - $5.00  = $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 + 25  = 255 (20-cent coins)

 

 Pavi has 255 twenty-cent coins and 230 fifty-cent coins.



7)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 140 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 8 ten-gram weights

Answer: 12 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: 140 g - 20 g  = 120 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 120 g ÷ 15 g = 8 (10-gram weights)
 Step 5: 8 + 4  = 12 (5-gram weights)

 

 

 

Amutha has 12 five-gram weights and 8 ten-gram weights



8)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 130 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 Nandini got

Answer: 14 five-cent coins

Answer: 6 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: 130 cents - 40 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 + 8  = 14 (5-cent coins)

 

 Nandini has 14 five-cent coins and 6 ten-cent coins.



9)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $186.80. There are 24 more 20-cent coins than 50-cent coins.

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

Answer: 284 twenty-cent coins

Answer: 260 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: $186.80 - $4.80  = $182.00
 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: $182.00 ÷ $0.70 = 260 (50-cent coins)
 Step 5: 260 + 24  = 284 (20-cent coins)

 

 Chithra has 284 twenty-cent coins and 260 fifty-cent coins.



10)  

Ramani has some 5-gram and 10-gram weights. The weights add up to 125 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 7 ten-gram weights

Answer: 11 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: 125 g - 20 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 + 4  = 11 (5-gram weights)

 

 

 

Ramani has 11 five-gram weights and 7 ten-gram weights