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)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $176.00. There are 5 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




2)  

Indra has some 5-cent and 10-cent coins. The coins add up to 175 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 Indra got

five-cent coins

ten-cent coins


Answer:_______________




3)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 2 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:_______________




4)  

Mithra has some 20-cent coins and 50-cent coins. The coins add up to $255.80. There are 19 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




5)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 140 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:_______________




6)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 190 g. There are 2 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:_______________




7)  

Poongodi has some 20-cent coins and 50-cent coins. The coins add up to $268.20. There are 11 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:_______________




8)  

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

five-cent coins

ten-cent coins


Answer:_______________




9)  

Poongodi has some 5-gram and 10-gram weights. The weights add up to 95 g. There are 4 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:_______________




10)  

Selvanayaki has some 20-cent coins and 50-cent coins. The coins add up to $261.00. There are 10 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




 

1)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $176.00. There are 5 more 20-cent coins than 50-cent coins.

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

Answer: 255 twenty-cent coins

Answer: 250 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: $176.00 - $1.00  = $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 + 5  = 255 (20-cent coins)

 

 Amutha has 255 twenty-cent coins and 250 fifty-cent coins.



2)  

Indra has some 5-cent and 10-cent coins. The coins add up to 175 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 Indra got

Answer: 17 five-cent coins

Answer: 9 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: 175 cents - 40 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 + 8  = 17 (5-cent coins)

 

 Indra has 17 five-cent coins and 9 ten-cent coins.



3)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 6 ten-gram weights

Answer: 8 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: 100 g - 10 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 + 2  = 8 (5-gram weights)

 

 

 

Amutha has 8 five-gram weights and 6 ten-gram weights



4)  

Mithra has some 20-cent coins and 50-cent coins. The coins add up to $255.80. There are 19 more 20-cent coins than 50-cent coins.

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

Answer: 379 twenty-cent coins

Answer: 360 fifty-cent coins




SOLUTION 1 :

There are 19 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 19 (20-cent coins) → 19 x 20
     = 380 cents
     = $3.80
 Step 2: $255.80 - $3.80  = $252.00
 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: $252.00 ÷ $0.70 = 360 (50-cent coins)
 Step 5: 360 + 19  = 379 (20-cent coins)

 

 Mithra has 379 twenty-cent coins and 360 fifty-cent coins.



5)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 140 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: 12 five-cent coins

Answer: 8 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: 140 cents - 20 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 + 4  = 12 (5-cent coins)

 

 Nandini has 12 five-cent coins and 8 ten-cent coins.



6)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 190 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 12 ten-gram weights

Answer: 14 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: 190 g - 10 g  = 180 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 180 g ÷ 15 g = 12 (10-gram weights)
 Step 5: 12 + 2  = 14 (5-gram weights)

 

 

 

Amutha has 14 five-gram weights and 12 ten-gram weights



7)  

Poongodi has some 20-cent coins and 50-cent coins. The coins add up to $268.20. There are 11 more 20-cent coins than 50-cent coins.

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

Answer: 391 twenty-cent coins

Answer: 380 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: $268.20 - $2.20  = $266.00
 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: $266.00 ÷ $0.70 = 380 (50-cent coins)
 Step 5: 380 + 11  = 391 (20-cent coins)

 

 Poongodi has 391 twenty-cent coins and 380 fifty-cent coins.



8)  

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

Answer: 20 five-cent coins

Answer: 10 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: 200 cents - 50 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 + 10  = 20 (5-cent coins)

 

 Poongodi has 20 five-cent coins and 10 ten-cent coins.



9)  

Poongodi has some 5-gram and 10-gram weights. The weights add up to 95 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 5 ten-gram weights

Answer: 9 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: 95 g - 20 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 + 4  = 9 (5-gram weights)

 

 

 

Poongodi has 9 five-gram weights and 5 ten-gram weights



10)  

Selvanayaki has some 20-cent coins and 50-cent coins. The coins add up to $261.00. There are 10 more 20-cent coins than 50-cent coins.

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

Answer: 380 twenty-cent coins

Answer: 370 fifty-cent coins




SOLUTION 1 :

There are 10 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 10 (20-cent coins) → 10 x 20
     = 200 cents
     = $2.00
 Step 2: $261.00 - $2.00  = $259.00
 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: $259.00 ÷ $0.70 = 370 (50-cent coins)
 Step 5: 370 + 10  = 380 (20-cent coins)

 

 Selvanayaki has 380 twenty-cent coins and 370 fifty-cent coins.