SOLUTION: At work one day, Erica Franz received 22 packages. Speedy Delivery delivered four times as many as ralph's Express, while Ralph's express delivered two more than Send Quick Package

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Question 509870: At work one day, Erica Franz received 22 packages. Speedy Delivery delivered four times as many as ralph's Express, while Ralph's express delivered two more than Send Quick Package. How many packages did each service send to Erica?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Send Quick delivered = x
Ralph Express delivered = x+2
Speedy Delivery delivered = 4(x+2)
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Given
Send Quick delivered + Ralph Express delivered + Speedy Delivery delivered = 22
x+(x+2)+4(x+2)=22
x+x+2+4x+8=22
6x+10=22
6x=22-10
6x=12
6x/6=12/6
x=2
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Send Quick delivered = x = 2
Ralph Express delivered = x+2 = 2+2 = 4
Speedy Delivery delivered = 4(x+2)=4(2+2)=4(4)=16
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