Answer to Question #298506 in Algebra for Kefs

Question

In a country there are 48000 people in the defence services. They work in the army, navy and air force in the ratio 5:2:3 . how many people are in each service?

Answer 1

There are $5+2+3=10$ parts.

One part corresponds to $\dfrac{48000}{10}=4800$ people.

People working in the army make up 5 parts

$$5(4800)=24000$$

People working in the navy make up 2 parts

$$2(4800)=9600$$

People working in the air force make up 3 parts

$$3(4800)=14400$$

There are 24000 people in army.

There are 9600 people in navy.

There are 14400 people in air force.