Question

1 Caitlyn wants to buy sheets of trumpet music at the price shown. She has only $25, and she first needs to pay back $5 to her friend. How many sheets can Caitlyn buy?

A. Describe how this problem represents an inequality situation.​

Answer 1

Caitlyn, with $25 and a $5 debt, has $20. Each sheet costs $3. She can buy a maximum of 6 sheets of trumpet music by dividing her $20 budget by the $3 cost per sheet.

Caitlyn's total budget before paying back her friend is $25.

She owes her friend $5, so after paying that back, her remaining budget is $25 - $5 = $20.

The price per sheet of trumpet music is $3.

Now, we can set up an inequality to find out how many sheets of music Caitlyn can buy:

Let
`\( x \)` represent the number of sheets of music she can buy.

The cost of
`\( x \)` sheets of music should be less than or equal to her remaining budget after paying her friend:

`\[ x * \text{price per sheet} \leq \text{remaining budget} \]`

`\[ x * 3 \leq 20 \]`

let's solve for
`\( x \):`

`\[ x * 3 \leq 20 \]`

`\[ x \leq (20)/(3) \]`

`\[ x \leq 6.\overline{6} \]`

Since Caitlyn can't buy a fraction of a sheet, she can buy a maximum of 6 sheets of trumpet music with her remaining budget of $20.

complete the question

Caitlyn wants to buy sheets of trumpet music at the price shown. She has only $25, and she first needs to pay back $5 to her friend. The price per sheet of trumpet music is $3. How many sheets can Caitlyn buy given her budget constraints?