Scroll:Whole Numbers >> Other Heuristics >> 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 205 g. There are 2 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)  

Indra 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 Indra got

five-cent coins

ten-cent coins


Answer:_______________




3)  

Parveen has some 20-cent coins and 50-cent coins. The coins add up to $242.20. There are 21 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:_______________




4)  

Indra has some 5-gram and 10-gram weights. The weights add up to 195 g. There are 3 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)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 235 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 Panimalar got

five-cent coins

ten-cent coins


Answer:_______________




6)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $231.60. There are 3 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:_______________




7)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 115 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:_______________




8)  

Jeevini has some 5-cent and 10-cent coins. The coins add up to 180 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 Jeevini got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Jeevini has some 20-cent coins and 50-cent coins. The coins add up to $243.40. There are 27 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




10)  

Ponnalagu 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 Ponnalagu have

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 205 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 13 ten-gram weights

Answer: 15 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: 205 g - 10 g  = 195 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 195 g ÷ 15 g = 13 (10-gram weights)
 Step 5: 13 + 2  = 15 (5-gram weights)

 

 

 

Poovazhagi has 15 five-gram weights and 13 ten-gram weights



2)  

Indra 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 Indra 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)

 

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



3)  

Parveen has some 20-cent coins and 50-cent coins. The coins add up to $242.20. There are 21 more 20-cent coins than 50-cent coins.

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

Answer: 361 twenty-cent coins

Answer: 340 fifty-cent coins




SOLUTION 1 :

There are 21 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 21 (20-cent coins) → 21 x 20
     = 420 cents
     = $4.20
 Step 2: $242.20 - $4.20  = $238.00
 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: $238.00 ÷ $0.70 = 340 (50-cent coins)
 Step 5: 340 + 21  = 361 (20-cent coins)

 

 Parveen has 361 twenty-cent coins and 340 fifty-cent coins.



4)  

Indra has some 5-gram and 10-gram weights. The weights add up to 195 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 12 ten-gram weights

Answer: 15 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: 195 g - 15 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 + 3  = 15 (5-gram weights)

 

 

 

Indra has 15 five-gram weights and 12 ten-gram weights



5)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 235 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 Panimalar got

Answer: 21 five-cent coins

Answer: 13 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: 235 cents - 40 cents  = 195 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: 195 ÷ 15 cents  = 13 (10-cent coins)
  13 + 8  = 21 (5-cent coins)

 

 Panimalar has 21 five-cent coins and 13 ten-cent coins.



6)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $231.60. There are 3 more 20-cent coins than 50-cent coins.

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

Answer: 333 twenty-cent coins

Answer: 330 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: $231.60 - $0.60  = $231.00
 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: $231.00 ÷ $0.70 = 330 (50-cent coins)
 Step 5: 330 + 3  = 333 (20-cent coins)

 

 Kumutha has 333 twenty-cent coins and 330 fifty-cent coins.



7)  

Amutha has some 5-gram and 10-gram weights. The weights add up to 115 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: 7 ten-gram weights

Answer: 9 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: 115 g - 10 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 + 2  = 9 (5-gram weights)

 

 

 

Amutha has 9 five-gram weights and 7 ten-gram weights



8)  

Jeevini has some 5-cent and 10-cent coins. The coins add up to 180 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 Jeevini got

Answer: 14 five-cent coins

Answer: 11 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: 180 cents - 15 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 + 3  = 14 (5-cent coins)

 

 Jeevini has 14 five-cent coins and 11 ten-cent coins.



9)  

Jeevini has some 20-cent coins and 50-cent coins. The coins add up to $243.40. There are 27 more 20-cent coins than 50-cent coins.

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

Answer: 367 twenty-cent coins

Answer: 340 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: $243.40 - $5.40  = $238.00
 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: $238.00 ÷ $0.70 = 340 (50-cent coins)
 Step 5: 340 + 27  = 367 (20-cent coins)

 

 Jeevini has 367 twenty-cent coins and 340 fifty-cent coins.



10)  

Ponnalagu 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 Ponnalagu 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)

 

 

 

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