Question

A movie theater charges 10.50 per person for admission. In one hour, the theater raised $19.11 in admission fees. Write and solve an equation to find how many people visted in a hour.

Answer 1

a. C = $ 10.50x b. 2 persons

Explanation:

a. Write an equation to find how many people visited in a hour

Let x be the number of persons admitted in one hour. Since the movie theater charges 10.50 per person for admission, then the total admission fees would be C = charge per person × number of persons = $ 10.50 × x = $ 10.50x.

C = $ 10.50x

b. Solve an equation to find how many people visited in a hour

Given that C = $19.11, and C = $ 10.50x, so,

x = C/($10.50)

substituting C into the equation, we have

x = $19.11/$10.50

x = 1.82

Since we cannot have a decimal number of persons, x is rounded up to the nearest whole number. So,

x = 1.82

x ≅ 2

So, two people visited the theater in one hour.