MichelangeloA473234 MichelangeloA473234
  • 04-11-2022
  • Mathematics
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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?

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LotusX308010 LotusX308010
  • 04-11-2022

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

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