Question

Every month the library hosts a family movie night. This month, 50 people attended the movie night. This was two more than three-fourths of the total number of people who attended the movie night last month. Write and solve an equation to determine how many people attended last month's family movie night. Use x as the variable.

Answer 1

64 people

Explanation:

Let the number of people that attended the movie last month be represented by x.

Number of people who attended the movie this month = 50

`(3)/(4)` of x + 2 = 50

`(3x)/(4)` + 2 = 50

`(3x)/(4)` = 50 - 2

`(3x)/(4)` = 48

3x = 48 x 4

3x = 192

x = 64

The number of people that attended the movie last month was 64.