Question

The price of admission o the New Haven Children's Museum is $6 more for adult than for children. If a group of 6 adults and 18 children pays a total of $108 to visit the museum, what is the cost, in dollars, of the ticket for one adult?

(A) $7.00
(B) $9.00
(C) $10.00
(D) $12.00
(E) $13.00

Answer 1

@DanJS

Answer 2

@Nnesha

Answer 3

The problem gives you information to make 2 equations.

Answer 4

$6 more for adult than for children

Cost of Adult = Cost of Child + 6

A = C + 6

Answer 5

6 adults and 18 children pays a total of $108

6*(cost of adult) + 18*(cost of child) = 108

Answer 6

2 equations, 2 unknowns

A = C + 6
6A + 18C = 108

Answer 7

Sub, the first into the second, and solve for C.

Answer 8

Or since they want just the cost for an adult. A.
Solve the first for C, then put
C = A - 6, into the second, and solve for A

Answer 9

I got c = 3 so since it's 6 more for adults it's going to be (
so B?

Answer 10

@DanJS

Answer 11

6C+36+18C=108
24C = 72
C=3

A=C+6 = 9

Answer 12

thanks :)