The town glee club sold tickets for the summer concert. The club charged 8 dollars for a child ticket and 18 dollars for an adult ticket. A total of 8 dollars comma 400 in ticket sales was raised. The number of adult tickets, A , is 50 more than twice the number of child tickets, c Which system of equations will solve for the number of each type of ticket?
Answer
A
8 A plus 18 c is equal to 8 comma 400 A is equal to 2 c minus 50
B
18 A plus 8 c is equal to 8 comma 400 c is equal to 2 A plus 50
C
8 c plus 18 A is equal to 8 comma 400 A is equal to 2 c plus 50
D
8 A minus 18 c is equal to 8 comma 400 A is equal to 2 c minus 50
Explanation
Child tickets bring in 8c dollars, and adult tickets bring in 18A dollars, so the sales equation is 8c + 18A = 8,400. “50 more than twice the number of child tickets” means A = 2c + 50. Choice C gives both equations.
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