Question

Kevin has at most $30 to spend at the fair. The entrance fee is $5.50 and each activity is $1.25.

Write the equation that represents the problem.

Answer 1

Given:

Entrance fee = $5.50

Additional fee = $1.25 for each activity.

Total amount spend at fair = $30

To find:

The equation that represents the problem.

Solution:

Let the number of activities be
`x`.

Additional fee for 1 activity =
`\$1.25`

Additional fee for x activity =
`\$1.25x`

Total fee = Entrance fee + Additional fee for x activity

=
`\$5.50 + \$1.25x`

It is given that Kevin has at most $30 to spend at the fair. So, total fee must be equal to $30.

`\$5.50 + \$1.25x=\$30`

`5.50+1.25x=30`

Therefore, the require equation is
`5.50+1.25x=30`.

Note: The inequality for the given problem is
`5.50+1.25x\leq 30`.