Question

Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?

Answer 1

she needs to sell 60 bracelets

Answer 2

`60\leq x\leq 100`

Explanation:

Let x represent number of bracelets.

We have been given that Zoya has 100 bracelets. We can represent this information in an inequality as:
`x\leq 100`

We are also told that she plans to sell at $5 each. The earnings from selling x bracelets would be
`5x`.

Zoya's goal is to earn at least $300. This means earnings from selling x bracelets should be greater than or equal to 300. We can represent this information in an inequality as:

`5x\geq 300`

`(5x)/(5)\geq (300)/(5)`

`x\geq 60`

Upon combining both inequalities, we will get:

`60\leq x\leq 100`

Therefore, the inequality
`60\leq x\leq 100` shows the number of bracelets Zoya can sell to meet her goal.