Answer:
[tex]600\text{ and }1800[/tex]
Step-by-step explanation:
GIVEN: A shipping department hires two delivery services to deliver [tex]2400[/tex] packages. One service will deliver [tex]3[/tex] times as many packages as the other.
TO FIND: Find the deliveries by each service.
SOLUTION:
Let the deliveries done by first service be [tex]x[/tex]
Let the deliveries done by second service be [tex]y[/tex]
As, one service deliver [tex]3 \text{ times}[/tex] the other
[tex]x=3y[/tex]
Total deliveries done by both serivces [tex]=2400[/tex]
[tex]x+y=2400[/tex]
putting value of [tex]x[/tex] from above
[tex]3y+y=2400[/tex]
[tex]4y=2400[/tex]
[tex]y=600[/tex]
as [tex]x=3y[/tex]
[tex]x=3\times600=1800[/tex]
Therefore deliveries done by both services are [tex]600[/tex] and [tex]1800[/tex] respectively
