# SOLVING WORD PROBLEMS WITH RATIONAL NUMBERS FOR GRADE 8

Solving Word Problems with Rational Numbers for Grade 8 :

Here we are going to see some example problems of solving word problems with rational numbers.

## Solving Word Problems with Rational Numbers for Grade 8 - Practice questions

Question 1 :

Subbu spends 1/3 of his monthly earnings on rent, 2/5 on food and 1/10 on monthly usuals. What fractional part of his earnings is left with him for other expenses?

Solution :

Amount spent for rent  =  1/3

Amount spent for food  =  2/5

Amount spent for monthly usual  =  1/10

Required amount left over  =  1 - [(1/3) + (2/5) + (1/10)]

L.C.M (3, 5, 10)  =  30

=  1 - [(10+12+3)/30]

=  1 - (25/30)

=  (30-25)/30

=  5/30

=  1/6

Question 2 :

In a constituency, 19/25 of the voters had voted for candidate A whereas 7/50 had voted for candidate B. Find the rational number of the voters who had voted for others.

Solution :

Part of voters had voted for candidate A  =  19/25

Part of voters had voted for candidate B  =  7/50

Part of voters voted for others  =  1 - [(19/25) + (7/50)]

L.C. M (25, 50)  =  50

=  1 - [(38 + 7)/50]

=  1 - (45/50)

=  (50-45)/50

=  5/50

=  1/10

Question 3 :

If 3/4 of a box of apples weighs 3 kg and 225 gm, how much does a full box of apples weigh?

Solution :

1 kg = 1000 g

3 kg = 3000

Therefore, 3000g + 225g = 3225 g

Finding the weight :-

3/4 of box weighs = 3225g

1/4 of box weighs = 3225/3  =  1075

Weight of box  =  3225 + 1075  =  4300

Hence, required answer is 4 kg 300 g

Question 4 :

Mangalam buys a water jug of capacity 3 4/5 litres. If she buys another jug which is 2 2/3 times as large as the  smaller jug, how many litres can the larger one hold?

Solution :

Capacity of jug  =  3  4/5 liters  =  19/5

Now the volume of the second jug = 2  2/3 times of the first jug

=  8/3

So, the volume or capacity of the second jug( larger jug)

= (19/5) ⋅ (8/3)

=  152/15

=  10  2/5 liters

After having gone through the stuff given above, we hope that the students would have understood, "Solving Word Problems with Rational Numbers for Grade 8"

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