Question

The price of admission to the Everglades Historical Museum is $11 more for non-members than for members of the museum’s Friends of the Museum program.

If a group of 3 members and 4 non-members pays a total of $79 to visit the Museum, what is the cost, in dollars, of the ticket for one non-member?

Select one:
A. $9.00
B. $11.00
C. $15.00
D. $16.00

Answer 1

d. $16.

Explanation:

3 members (m) + 4 nonmembers (n) = $79

nonmembers = $11 more or n=m+11 so...

3m + 4(m+11)=79 [replace "n" with "m+11"]

3m + 4m + 44=79

7m + 44 = 79

7m=35 and reduced m=5 so members pay $5 and nonmembers pay 5+11=$16