Question

For her birthday, Gale received $200. She would like to spend all or some of the money to take

guitar lessons. After an initial $50 fee to cover rental equipment, each guitar lesson will cost $25.
Write an inequality to determine how many lessons Gale could take using her birthday money.
Highlight your inequality in green. Then, solve the inequality.

Answer 1

The inequality that can be used to determine the number of guitar lessons Gale could take using her birthday money is:

`25x + 50 \leqslant 200`

The solution to the inequality is:

`x \leqslant 6`

She can take at most, 6 guitar lessons

Explanation:

Total amount Gale received is $200

For rental equipment, she paid $50

Each guitar lesson will cost $25

Let x represent the number of lessons she could take, then the total amount she will spend must bot exceed $200

The guitar lesson will cost a total of 25x

So, her total spending will be:

`25x + 50`

This must be at most $200

`25x + 50 \leqslant 20`

Solving the above inequality:

`25x \leqslant 200 - 50 = 150`

`x \leqslant (150)/(25) = 6`