SOLVING WORD PROBLEMS ON RATIO WORKSHEET

Problem 1 :

Two numbers are in the ratio of 3 : 5. If 9 is substracted from each, the ratio becomes 12 : 23. Find the greater number?             Solution

Problem 2 :

When 7 is added to the numerator and denominator of the fraction, then the new ratio of becomes 13 : 19, what is the original ratio?             Solution

Problem 3 :

The ratio of age of krish and her mother is 5 : 12 and difference of their ages is 21. What will be the ratio of their ages after 3 years?             Solution

Problem 4 :

Ratio of A and B in the ratio of 5 : 8. After 6 years, the ratio of ages of  A and B will be in the ratio of 17 : 26. Find the present age of B.             Solution

Problem 5 :

The ratio of the length of a vertical pole and its shadow on the ground is 7 : 2. Find the length of the pole, if the length of the shadow is 2.4 m.             Solution

Problem 6 :

If the cost of 14 m cloth is $1890, find the cost of 6 m cloth.

Solution

Problem 7 :

The value of m, if 3, 18, m, 42 are in proportion is 

a)  6     b)  54     c)  7    d) none

Solution

Problem 8 :

If 20% of x = 30% of y, then x : y = ?

Solution

Problem 9 :

Two numbers are in the ratio fo 8 : 3 and their sum is 242. Find the difference between two numbers.

Solution

Problem 10 :

Present age of Rani and Kami are in the ratio of 5 : 6 respectively. 7 years hence this ratio will become 6 : 7 respectively. What is Rani's present age ?

Solution

Problem 1 :

The ratio of boys and girls in the school is 7 : 9, when 22 new boys are joined in this school then the ratio becomes 9 : 10. How many girls in this school?     Solution

Problem 2 :

If two numbers are in the ratio 11 : 13 and their difference is 8, find the numbers.            Solution

Problem 3 :

The length and breadth of the rectangle are in the ratio 9 : 7. Find the perimeter of the rectangles if its breadth is 378 cm.            Solution

Problem 4 :

Find the measures of the angles of a triangle if the ratio of their measures is 4 : 12 : 29.       Solution

Problem 5 :

The perimeter of a square is 26 cm while the area of another square is 121 cm². Find the ratio of their lengths.

Solution

Problem 6 :

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

Solution

Problem 7 :

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

Solution

Problem 8 :

At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?

Solution

Problem 9 :

A car can travel 240 km in 15 litres of petrol. How much distance will it travel in 25 litres of petrol?

Solution

Problem 10 :

The yield of wheat from 8 hectares of land is 360 quintals. Find the number of hectares of land required for a yield of 540 quintals?

Solution

Problem 11 :

The earth rotates 360^o about its axis in about 24 hours. By how much degree will it rotate in 2 hours?

Solution

Set up a proportion to solve each problem, show all work, and label all answers.

Problem 1 :

The ratio of boys is 3 to 2. If there are 12 boys, how many girls are there?

Solution

Problem 2 :

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

Solution

Problem 3 :

At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?

Solution

Problem 4 :

Mary has saved $17.50 in the past 3 weeks. At this rate, how much will she save in 15 weeks?

Solution

Problem 5 :

Mr. Johnson was paid $190 for a job that required 40 hours of work. At this rate, how much should he be paid for a job requiring 60 hours of work?

Solution

Problem 6 :

The park ranger stocks the children's fishing pond keeping a ratio of  4 sunfish to 3 perch. If he puts 300 sunfish into the pond, how many perch should be put into the pond?

Solution

Problem 7 :

If two pounds of meat will serve 5 people, how many pounds will be needed to serve 13 people?

Solution

Problem 8 :

Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the hole for a tree that is 17 feet high?

Solution

Problem 9 :

A certain shade of green paint is made from 5 parts yellow mixed with three parts blue. If 2 cans of yellow are used, how many cans of blue should be used?

Solution

Problem 10 :

If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take?

Solution