Question

The drama club spent $35 on decorations and $8.50 per person on food for a cast party. The total cost of the food

and decorations was $264.50. How many people were at the cast party?
A)1,951 people
B)238 people
C)27 people
D)221 people

Answer 1

Option C) 27 people

Explanation:

Let

x ----> the number of people

we know that

The cost of decorations ($35) plus the number of people (x) multiplied by the cost per person on food ($8.50) must be equal to $264.50

so

The linear equation that represent this situation is

`35+8.50x=264.50`

solve for x

Subtract 35 both sides

`8.50x=264.50-35`

`8.50x=229.50`

Divide by 8.50 both sides

`x=229.50/8.50`

`x=27\ people`