# 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? ##### 1 Answer May 16, 2018 #### Answer: Number of adult and student tickets sold are $20 \mathmr{and} 25$respectively. #### Explanation: Let the number of adult tickets sold be $a$, then, number of student tickets sold be $s = 45 - a$Total collection is $7 a + \left(45 - a\right) \cdot 5 = 265$or $7 a - 5 a + 225 = 265 \mathmr{and} 2 a = 265 - 225 \mathmr{and} 2 a = 40$$\therefore a = \frac{40}{2} = 20 \therefore s = 45 - a = 45 - 20 = 25$Number of adult and student tickets sold are $20 \mathmr{and} 25\$

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