At work one day, Robert DJ received 22 packages. Speedy delivery delivered four times as many as Jenna’s Express, while Jenna’s Express delivered two more than SendQuick package service. How many packages did each service deliver to Robert DJ?
We'll call the number of packages delivered by the respective services s, j, and q for Speed, Jenna and SendQuick.
Robert DJ received 22 packages:
s + j + q = 22
Speedy delivery delivered four times as many as Jenna’s express.
s = 4j
Jenna’s Express delivered two more than SendQuick
j = 2q
Substituting,
22 = s + j + q = 4 j + j + q = 5j + q = 5(2q) + q = 11 q
q = 22/11 = 2
j = 2q = 4
s = 4j = 16
Check: 2+4+16=22 good
Answer: Speedy: 16, Jenna: 4, SendQuick: 2
