WORD PROBLEMS ON RATIO WORKSHEET

Problem 1 :

If x : 15 = 10 : 3, find the value of x.

Problem 2 :

If the ratio of the populations of Africa and Europe is 5 : 4, find the population of Africa if Europe's population is 728 million.

Solution

Problem 3 :

The ratio of the average population density per km² of Asia to that of Australia is 60 : 1. If the average in Asia is 152 people per km², what is the average in Australia?

Solution

Problem 4 :

The ratio of the population of Sydney to the population of Melbourne is 7 : 6. If 4.2 million people live in Sydney, how many people live in Melbourne?

Solution

Problem 5 :

If 84 jellybeans are divided between Naomi and Luke in the ratio 4 : 3, how many jellybeans does each receive?

Solution

Problem 6 :

The sizes of the angles of a triangle are in the ratio 2 : 3 : 4. Find the size of each angle.

Solution

Problem 7 :

A total of 22 million people live in the cities of Tokyo and Moscow. If the ratio of the populations of Tokyo and Moscow is 6 : 5. What is the population of each city?

Solution

Problem 8 :

At Christ Church, Cobargo, in 1914, there were 60 baptisms. The ratio of males to females who were baptised was 3 : 2. How many of each were baptised?

Solution

Answer Key

1) So, the value of x is 50.

2) Population of Africa is 910 million.

3) 2.5 people per km².

4) 3.6 million people live in Melbourne.

5) Naomi gets 48 jellybeans and Luke gets 36 jellybeans.

6) 40°, 60° and 80°.

7) Population of Tokyo = 12 million and population of Moscow = 10 millions

8) 36 males and 24 females.

Problem 1 :

Bob has 12 red cards and 20 green cards. What is the ratio of Bob's red cards to this green cards ?

Solution

Problem 2 :

In a party 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks is required.

Solution

Problem 3 :

In Jack's class, 18 of the students are tall and 10 are short. In Michael's class 54 students are tall and 30 students are short. Which class has a higher ratio of tall to short students ?

Solution

Problem 4 :

The price of 3 apples at the Quick Market is $1.44. The price of 5 of the same apples at Walmart is $2.50. Which place is the better buy ?

Solution

Problem 5 :

The bakers at the Bakery can make 160 bagels in 4 hours. How many bagels can they bake in 16 hours? What is the rate per hour ?

Solution

Problem 6 :

The ratio of the boys to girls in a class is 2 : 3. If there are 18 boys in the class, how many girls are in that class ?

Solution

Problem 7 :

The ratio of red marbles to blue marbles in the bag is 3 : 4. If there are 42 marbles in the bag, how many of the marbles are red ?