At work one day, Erica Franz received 7 packages. Speedy delivery delivered twice as many as Ralph's Express, while Ralph's Express delivered one more package than SendQuick package service. how many packages did each deliver ?
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Problem: How many packages have been delivered ?
At work one day, Erica Franz received 7 packages.
Speedy delivery delivered twice as many as Ralph's Express,
while Ralph's Express delivered one more package
than SendQuick package service. how many packages did each deliver ?

s = 2r
r = q + 1
s = 2(q + 1)
s = 2q + 2


s + r + q = 7
(2q + 2) + (q + 1) + q = 7
4q + 3 = 7
4q = 4
q = 1
r = q + 1 = 1 + 1 = 2
s = 2r = 2 * 2 = 4

Speedy Delivery delivered 4
Ralph's Express delivered 2
SendQuick Package Service delivered 1

 

by Level 11 User (78.4k points)

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