Question

A theater charges $5.00 admission for adults and $2.50 for children. At one showing 240 admissions brought a total of $800. How many adults attended the showing?

Answer 1

Answer:

80

Step-by-step explanation:

Let the number of adults be x

Let the number of children be y

This means that the money paid by adults and kids is $5 multiplied by x (5x) and $2.50 multiplied by y (2.5y)

This will give two equations as shown below

x + y = 240  total admissions......................... equation 1

5x + 2.5y = 800  total money paid..................equation 2

Making x the subject of formula in equation 1

x=240-y......................................................equation 3

Substituting equation 3 into equation 2

5(240-y) + 2.5y = 800  removing the brackets

1200 - 5y + 2.5y = 800 grouping like terms

-5y + 2.5y = 800-1200  simplifying

-2.5y  = -400 therefore

-2.5y/-2.5 = -400/-2.5

y = 160

Substituting y into equation 3

x = 240 - y

x = 240 - 160

x = 80

Hence number of adults who attended = 80