A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.

Question

A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.

The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.
12x + 25y = 9,014

x + y = 450

First, place a point on the graph representing the solution to the system of equations. Notice that one of the equations in the system has already been graphed.

Then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.

(Fill in the blanks.)
There are approximately (blank) Children
that visited the museum and (Blank) Adults

Answer 1

A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.

There are approximately 325 children that visited the museum and 125 adults that visited the museum.