SOLUTION: Mike bought a shirt and a package of socks. The shirt cost $17.50 more than the socks. Mike paid $30 total. How much did each cost? Total= $30 shirt=x socks=x Thank you in

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Question 333606: Mike bought a shirt and a package of socks. The shirt cost $17.50 more than the socks. Mike paid $30 total. How much did each cost?
Total= $30
shirt=x
socks=x
Thank you in advance!
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Mike bought a shirt and a package of socks. The shirt cost $17.50 more than the socks. Mike paid $30 total. How much did each cost?
Total= $30
shirt=x
socks=x
---------------
Why would both shirt and socks = x?
shirt = s
socks = x
s + x = 30
s = x + 17.5
Sub for x in the 1st equation
(x+17.5) + x = 30
2x + 17.5 = 30
2x = 12.5
x = 6.25
socks cost $6.25
-----------------
s = x + 17.5 = 6.25 + 17.5 = 23.75
The shirt cost $23.75

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Mike bought a shirt and a package of socks. The shirt cost $17.50 more than the socks. Mike paid $30 total. How much did each cost?
Total= $30
shirt=x
socks=x-17.50
Equation:
value + value = value
x + x-17.50 = 30
2x = 47.5
x = 23.75 (price of a shirt)
---
x-17.50 = $6.25 (price of a pack of socks)
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Cheers,
Stan H.