SOLUTION: At work one day, Erica Franz received 45 packages, Speedy Delivery delivered three times as many as Ralph's Express, while Ralph's Express delivered five more than Sendquick Packag

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Question 178297: At work one day, Erica Franz received 45 packages, Speedy Delivery delivered three times as many as Ralph's Express, while Ralph's Express delivered five more than Sendquick Package Service. How many packages did each service deliver to Erica.
Speedy delivery
Ralphs Express
Sendquick
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let r= number of packages delivered by Ralph's express
Let s= number of packages delivered by Speedy's
Let q= number of packages delivered by Sendquick
Given:
(1) r+%2B+s+%2B+q+=+45
(2) s+=+3r
(3) r+=+q+%2B+5
-------------------------
From (3):
q+=+r+-+5
From (1):
r+%2B+3r+%2B+r+-+5+=+45
5r+-+5+=+45
5r+=+50
r+=+10
from (2):
s+=+3%2A10
s+=+30
from (3):
10+=+q+%2B+5
q+=+5
Speedy's delivered 30, Ralph's delivered 10, Sendquick delivered 5