Question

3) The girls soccer team is doing a fund- raiser for new soccer uniforms. They need to raise at least $2,000. A local merchant has promised to donate up to 150 plain and deluxe t-shirts to help the team with their fundraiser. Plain t- shirts sell for $8 each and fancy t-shirts sell for $12 each. Write a system of inequalities to represent the given scenario. If the soccer team sells 70 fancy t shirts, what is the minimum number of plan tees they need to sell?

Answer 1

Answer:

Step-by-step explanation:

Let x represent the number of plain T-shirts that were sold.

Let y represent the number of fancy T-shirts that were sold.

A local merchant has promised to donate up to 150 plain and deluxe t-shirts to help the team with their fundraiser. This means that

x + y ≤ 150

Plain t- shirts sell for $8 each and fancy t-shirts sell for $12 each. Therefore, the total cost of x plain T-shirts would be 8x and the total cost of x fancy T-shirts would be 12x

They need to raise at least $2,000. This means that

8x + 12y ≥ 2000

If the soccer team sells 70 fancy t shirts, then,

8x + 12 × 70 ≥ 2000

8x ≥ 2000 - 840

8x ≥ 1160

x ≥ 1160/8

x ≥ 145

The minimum number of plain t-shirts that they need to sell is 145