Joyce wants to mix granola and raisins together to make a snack for her class. Granola costs $2 per pound and raisins cost $4.50 per pound. Joyce is willing to spend $37.50 and wants to make 15 pounds of trail mix.

g+Response area=15

2Response area+4.5r=Response area

*2+4.5*(15-Response area)=37.5

2Response area+67.5-4.5Response area=37.5

-2.5Response area=-30

Response area=12

Therefore, Joyce needs to mix 12 pounds of granola and 3 pounds of raisins to make 15 pounds of trail mix, using $37.50.