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

Answer:

$600\text{ and }1800$

Step-by-step 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 $x=3y$

$x=3\times600=1800$

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