Question

Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.

Answer 1

`x = 10`

Explanation:

Given

$x per adult

$8 per student

Population:

`Students = 1`

`Adults = 4`

`Total = \$48`

Required

Determine the equation and solve for x

The system can be analyzed as thus:

The cost for 4 adults is: 4 * x

The cost for 1 students is: 8 * 1

Total Amount is: 48

From the analysis above, the equation is:

`4 * x + 8 * 1 = 48`

`4 x + 8 = 48`

Subtract 8 from both sides

`4 x + 8 -8= 48 - 8`

`4 x= 40`

Solve for x

`x = 40/4`

`x = 10`