Question

A middle school band uses a company to manage its fundraisers. The company charges a fee of $260 per fundraiser for its services. For the first fundraiser of the year, the band is selling insulated cups with school logos on them for $10.50 each. The goal of the fundraiser is to raise at least $1000.00. The following inequality represents this situation, where c stands for the number of cups:


At least how many cups must the band sell to reach its fundraising goal?
a
71 cups
b
120 cups
c
730 cups
d
4 cups

Answer 1

Let c be number of cups. Net raised = 10.50c − 260. Require 10.50c − 260 ≥ 1000.

Solve: 10.50c ≥ 1260 → c ≥ 1260 ÷ 10.50 = 120.

Answer: b (120 cups).