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

Question

3 years ago

12

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

Mathematics

1 answer:

matrenka [14] · Answer 1 · 2022-04-17T05:28:27+03:00

matrenka [14]3 years ago

3 0

Answer:

d. $16.

Step-by-step 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