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 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?

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

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation:

mathpapa

step-by-step explanation: