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There were 190 tickets sold for the concert. Receipts from the $15 adult tickets and

$12 senior tickets totaled $2,610. How many senior tickets were sold?

User Xiaofu
by
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1 Answer

3 votes

Answer:

80 senior tickets

Explanation:

Solve as a set of simultaneous equations

Let X be the number of adult tickets sold

Let Y be the number of senior tickets sold

Since total number of tickets sold = 190,

X + Y = 190 (1)

Total cost of A adult tickets = 15 x X = 15X
Total cost of S senior tickets = 12 x Y = 12Y

We know the total cost to be $2610, so
15X + 12Y = 2610 (2)

Multiply (1) by 15 to get
15X + 15Y = 15 x 190 = 2850 (3)

Subtract (2) from (3)
(3) - (2) gives

15X + 15Y - (15X + 12Y) = 2850 - 2610

15X + 15Y - 15X - 12Y = 240

Simplify
15Y - 12Y = 240
3Y = 240

Y = 240/3 = 80

Since Y represents the number of senior tickets, answer = 80 senior tickets


User Roberto Bonini
by
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