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)  

Poovazhagi 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 Poovazhagi have

ten-gram weights

five-gram weights



Answer:_______________




2)  

Haritha has some 20-cent coins and 50-cent coins. The coins add up to $78.00. 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:_______________




3)  

Ponnalagu has some 5-cent and 10-cent coins. The coins add up to 120 cents. There are 3 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 Ponnalagu got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Tulasi 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 Tulasi have

ten-gram weights

five-gram weights



Answer:_______________




5)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $229.60. There are 28 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




6)  

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

five-cent coins

ten-cent coins


Answer:_______________




7)  

Tulasi has some 5-gram and 10-gram weights. The weights add up to 135 g. There are 3 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




8)  

Parveen has some 20-cent coins and 50-cent coins. The coins add up to $229.40. There are 27 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:_______________




9)  

Savithri has some 5-cent and 10-cent coins. The coins add up to 170 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 Savithri got

five-cent coins

ten-cent coins


Answer:_______________




10)  

Swathi has some 5-gram and 10-gram weights. The weights add up to 155 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:_______________




 

1)  

Poovazhagi 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 Poovazhagi 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)

 

 

 

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



2)  

Haritha has some 20-cent coins and 50-cent coins. The coins add up to $78.00. There are 5 more 20-cent coins than 50-cent coins.

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

Answer: 115 twenty-cent coins

Answer: 110 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: $78.00 - $1.00  = $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 + 5  = 115 (20-cent coins)

 

 Haritha has 115 twenty-cent coins and 110 fifty-cent coins.



3)  

Ponnalagu has some 5-cent and 10-cent coins. The coins add up to 120 cents. There are 3 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 Ponnalagu got

Answer: 10 five-cent coins

Answer: 7 ten-cent coins


SOLUTION 1 :

There are 3 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 3 five-cent coins 3 x 5
     = 15 cents
 Step 2: 120 cents - 15 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 + 3  = 10 (5-cent coins)

 

 Ponnalagu has 10 five-cent coins and 7 ten-cent coins.



4)  

Tulasi 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 Tulasi 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)

 

 

 

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



5)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $229.60. There are 28 more 20-cent coins than 50-cent coins.

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

Answer: 348 twenty-cent coins

Answer: 320 fifty-cent coins




SOLUTION 1 :

There are 28 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 28 (20-cent coins) 28 x 20
     = 560 cents
     = $5.60
 Step 2: $229.60 - $5.60  = $224.00
 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: $224.00 ÷ $0.70 = 320 (50-cent coins)
 Step 5: 320 + 28  = 348 (20-cent coins)

 

 Ramani has 348 twenty-cent coins and 320 fifty-cent coins.



6)  

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

Answer: 17 five-cent coins

Answer: 7 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: 155 cents - 50 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 + 10  = 17 (5-cent coins)

 

 Ramani has 17 five-cent coins and 7 ten-cent coins.



7)  

Tulasi has some 5-gram and 10-gram weights. The weights add up to 135 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 8 ten-gram weights

Answer: 11 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: 135 g - 15 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 + 3  = 11 (5-gram weights)

 

 

 

Tulasi has 11 five-gram weights and 8 ten-gram weights



8)  

Parveen has some 20-cent coins and 50-cent coins. The coins add up to $229.40. There are 27 more 20-cent coins than 50-cent coins.

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

Answer: 347 twenty-cent coins

Answer: 320 fifty-cent coins




SOLUTION 1 :

There are 27 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 27 (20-cent coins) 27 x 20
     = 540 cents
     = $5.40
 Step 2: $229.40 - $5.40  = $224.00
 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: $224.00 ÷ $0.70 = 320 (50-cent coins)
 Step 5: 320 + 27  = 347 (20-cent coins)

 

 Parveen has 347 twenty-cent coins and 320 fifty-cent coins.



9)  

Savithri has some 5-cent and 10-cent coins. The coins add up to 170 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 Savithri got

Answer: 16 five-cent coins

Answer: 9 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: 170 cents - 35 cents  = 135 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: 135 ÷ 15 cents  = 9 (10-cent coins)
  9 + 7  = 16 (5-cent coins)

 

 Savithri has 16 five-cent coins and 9 ten-cent coins.



10)  

Swathi has some 5-gram and 10-gram weights. The weights add up to 155 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: 9 ten-gram weights

Answer: 13 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: 155 g - 20 g  = 135 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 135 g ÷ 15 g = 9 (10-gram weights)
 Step 5: 9 + 4  = 13 (5-gram weights)

 

 

 

Swathi has 13 five-gram weights and 9 ten-gram weights