SOLUTION: At work one day, Erica received 28 packages. Speedy delivery delivered twice as many as Ralph's Express, while Ralphs Express delivered four more than Send Quick Package service.

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Question 179876: At work one day, Erica received 28 packages. Speedy delivery delivered twice as many as Ralph's Express, while Ralphs Express delivered four more than Send Quick Package service. How many packages did each service deliver to Erica.
Speedy Delivery
Ralph's Express
Sendquick
Answer by Mathtut(3670) (Show Source):
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At work one day, Erica received 28 packages. Speedy delivery delivered twice as many as Ralph's Express, while Ralphs Express delivered four more than Send Quick Package service. How many packages did each service deliver to Erica.
Speedy Delivery
Ralph's Express
Sendquick
let number of packages speedy,ralphs,and sendquik delivered be a,b,and c respectively
:
a=2b.......eq 1
b=c+4......eq 2
a+b+c=28....eq 3
:
rewrite eq 2 to c=b-4 and take that value and the value of a in eq 1 and plug them into eq 3
:
(2b)+b+(b-4)=28
:
4b=32
:
packages delivered by ralphs
:
packages delivered by speedy
:
package delivered by sendquick