Question

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

Answer:

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

`25x+50\le200`

The solution to the inequality is:

`x\le6`

She can take at most, 6 guitar lessons

Step-by-step 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 not 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\le200`

Solving the above inequality:

`\begin{gathered} 25x\le200-50=150 \\ x\le(150)/(25)=6 \\ \\ x\le6 \end{gathered}`

She cannot take more than 6 lessons