SOLUTION: The baseball team anf the softball team had fundraisers to buy supplies for their trip to the championship game. The baseball team spent $135 buying six cases of juice and one case

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Question 410761: The baseball team anf the softball team had fundraisers to buy supplies for their trip to the championship game. The baseball team spent $135 buying six cases of juice and one case of bottled water. The softball team spent $110 buying four cases of juice and two cases pf bottled water. How Much did a case of juice cost? How muuch did a case of bottled water cost? (could you also explain how you got the answer?)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = cost per case of juice
Let b = cost per case of bottled water
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In words:
(cost per case) x (a certain number of cases) = cost for that many cases
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given:
(1) 6a+%2B+1b+=+135
(2) 4a+%2B+2b+=+110
Multiply both sides of (1) by 2
and subtract (2) from (1)
(1) 12a+%2B+2b+=+270
(2) -4a+-+2b+=+-110
8a+=+160
a+=+20
and, since
(1) 6a+%2B+1b+=+135
6%2A20+%2B+b+=+135
b+=+135+-+120
b+=+15
$20 is the cost per case of juice
$15 is the cost per case of bottled water
check answer:
(2) 4a+%2B+2b+=+110
(2) 4%2A20+%2B+2%2A15+=+110
80+%2B+30+=+110
110+=+110