Question

The school that Micaela goes to is selling tickets to an annual dance competition. On the first day of ticket sales the school sold 7 senior citizen tickets and 8 student tickets for a total of $115. The school took and $40 on the second day by selling 6 senior citizen tickets and one student ticket. What is the price of one senior citizen ticket and one student ticket? Please show work

Answer 1

a = adult ticket price

s = student ticket price

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7a + 2s = 87

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4a + 6s = 74

4a = 74 - 6s

a = 74/4 - (6/4)s

a = 37/2 - (3/2)s

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7a + 2s = 87

7(37/2 - (3/2)s) + 2s = 87

7(37/2) - 7(3/2)s + 2s = 87

(259/2) - (21/2)s + 2s = 87

(21/2)s - 2s = (259/2) - 87

(21/2)s - (4/2)s = 259/2 - 174/2

(17/2)s = 85/2

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s = 85/2(2/17)

s = 85/17

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Answer:

s = $5

a = $11

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