371,016 views
39 votes
39 votes
on Saturday 90 people visited a museum tickets to the museum cost 12$ for each adult and $7 for each child the museum collected 950 in ticket sales that day how many adults visited the museum?

User Arseniew
by
3.1k points

1 Answer

17 votes
17 votes

Let's call:

a: number of adults

c: number of children

90 people visited a museum, then:

a + c = 90

Tickets to the museum cost $12 for each adult and $7 for each child and the museum collected $950, then:

12a + 7c = 950

Isolating c in the first equation:

c = 90 - a

Replacing it into the second equation:

12a + 7(90 - a) = 950

12a + 7(90) - 7a = 950

5a + 630 = 950

5a = 950 - 630

a = 320/5

a = 64

64 adults visited the museum

User Roman Pavelka
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.