SOLUTION: Tanya brought five adult tickets and one child's ticket to a movie for $31.80. Li brought two adult tickets and five children's tickets for $23.30. Find the cost of one adult ticke
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Question 1126631: Tanya brought five adult tickets and one child's ticket to a movie for $31.80. Li brought two adult tickets and five children's tickets for $23.30. Find the cost of one adult ticket and the cost of one children's ticket. Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! 5a + 1c = 31.80 multiply all times 5
2a + 5c = 23.30 multiply all times -1 and add
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25a + 5c = 159
+
-2a +-5c = -23.30
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23a + 0c = 135.70
23a = 135.7
a = 5.90 adult tickets cost 5.90 each
To find the cost of children's tickets I'll use the first equation:
5a + 1c = 31.80
5(5.90) + 1c = 31.80
29.50 + c = 31.80
c = 2.30
Use the 2nd equation to check this answer:
2a + 5c = 23.30
2(5.90) + 5(2.30) =
11.80 + 11.50 = 23.30 Correct
