bewellplus.gsu.edu
vclinda vclinda
  • 10-11-2016
  • Mathematics
Answered

Ali spent $33 on 2 pairs of shorts and 3 packages of socks. Kesha spent $27 on 1 pair of shorts and 5 packages of socks. How much does one of each item cost?

Verified Answer :

texaschic101
texaschic101 texaschic101
  • 10-11-2016

x = shorts and y = socks

2x + 3y = 33
x + 5y = 27.....multiply by -2
------------
2x + 3y = 33
-2x - 10y = - 54 (result of multiplying by -2)
------------------add
-7y = - 21
y = -21/-7
y = 3

x + 5y = 27
x + 5(3) = 27
x + 15 = 27
x = 27 - 15
x = 12

so shorts (x) cost $12 and socks (y) cost $ 3 per pack

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