You are selling tickets to a concert. Student tickets cost $5 and adult cost $7. You sell 45 tickets and collect $265. How many of each type did you sell?

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Answer 1 · 2018-05-16T11:57:27

Number of adult and student tickets sold are # 20 and 25#
respectively.

Let the number of adult tickets sold be #a# , then,

number of student tickets sold be # s=45-a#

Total collection is # 7 a + (45-a)*5=265# or

# 7 a - 5 a +225=265 or 2 a = 265-225 or 2 a =40 #

#:. a =40/2=20 :. s=45-a=45-20=25#

Number of adult and student tickets sold are # 20 and 25#

respectively. [Ans]