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