SOLUTION: on the first day of ticket sales the school sold 5 adult tickets and 7 child tickets for a total of $154. the school took in $146 on the second day by selling 7 adult tickets and f
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Question 524025: on the first day of ticket sales the school sold 5 adult tickets and 7 child tickets for a total of $154. the school took in $146 on the second day by selling 7 adult tickets and four child tickets. Find the price of an adult ticket and the price of a child ticket Answer by mananth(16946) (Show Source):
5 x + 7 y = 154 .............1
7 x + 4 y = 146 .............2
Eliminate y
multiply (1)by -4
Multiply (2) by 7
-20 x -28 y = -616
49 x 28 y = 1022
Add the two equations
29 x = 406
/ 29
x = 14.00
plug value of x in (1)
5 x + 7 y = 154
70 + 7 y = 154
7 y = 154 -70
7 y = 84
y = 12.00
Adult $14.00 price/ticket
Child $12.00 price/ticket
