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

Amount needed by Zoya to meet her fundraising goal ≥ $ 300

Number of Bracelets possessed by Zoya = 100

Cost of single bracelet = $ 5

To meet her goal , we need to convert these statement into equation

Let number of Bracelets sold = x

1. x≤ 100

2. 5 x ≥ 300

Dividing both sides by 5, we get

x ≥ 60

The two inequality are : x ≤ 100 and x ≥ 60

So the inequality is : 60 ≤ x≤ 100.

Answer 2

Call the number of bracelets sold x. Gvien that there are 100 bracelets: x < or equal than 100 Earnings = 5x => 5x > or equal than 300 => x > or equal than 300 / 5 => x > or equal than 60. Then, you obtain 60 < or equal than x < or equal than 300.