Question

A shipping department hires two delivery services to deliver 2400 packages. One service will deliver 3 times as many packages as the other. Find the number by each

Answer 1

`600\text{ and }1800`

Explanation:

GIVEN: A shipping department hires two delivery services to deliver
`2400` packages. One service will deliver
`3` times as many packages as the other.

TO FIND: Find the deliveries by each service.

SOLUTION:

Let the deliveries done by first service be
`x`

Let the deliveries done by second service be
`y`

As, one service deliver
`3 \text{ times}` the other

`x=3y`

Total deliveries done by both serivces
`=2400`

`x+y=2400`

putting value of
`x` from above

`3y+y=2400`

`4y=2400`

`y=600`

as
`x=3y`

`x=3*600=1800`

Therefore deliveries done by both services are
`600` and
`1800` respectively