SOLUTION: Gerry wants to put enough money aside to pay all of his july and august utility bills. His summer gas bills are usually about half of his winter bills. His winter gas bills average

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Question 439582: Gerry wants to put enough money aside to pay all of his july and august utility bills. His summer gas bills are usually about half of his winter bills. His winter gas bills average $142 per month. His electric bills are about $26 higher each month in summer than in winter. His winter electric bills average $52 per month. About how much should Gerry put aside to pay his july and august utility bills?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let g%5Bs%5D = average monthly summer gas bill
Let g%5Bw%5D = average monthly winter gas bill
Let e%5Bs%5D = average monthly summer electric bill
Let e%5Bw%5D = average monthly winter electric bill
given:
(1) +g%5Bw%5D+=+142+
(2) +e%5Bw%5D+=+52+
(3) +g%5Bs%5D+=+%281%2F2%29%2Ag%5Bw%5D+
(4) +e%5Bs%5D+=+e%5Bw%5D+%2B+26+
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There are 4 equations and 4 unknowns, so it's solvable
Substitute (1) in (3)
(3) +g%5Bs%5D+=+%281%2F2%29%2A142+
+g%5Bs%5D+=+71+
Substitute (2) in (4)
(4) +e%5Bs%5D+=+52+%2B+26+
+e%5Bs%5D+=+78+
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+2%2A%28g%5Bs%5D+%2B+e%5Bs%5D%29+=+2%2A%28+71+%2B+78%29+
+2%2A%28g%5Bs%5D+%2B+e%5Bs%5D%29+=+298+
For July and August, he should set aside $298