A 5-lb nut mixture is worth $2.80 per pound. The mixture contains peanuts worth $1.70 per pound and cashews worth $4.55 per pound. How many pounds of each type of nut are in the mixture?

Let the number of pounds of peanuts=P Then, the number of pounds of cashews=5 - P

1.7P + 4.55(5 - P)==5 * 2.80 1.7P + 22.75 - 4.55P==14 1.7P - 4.55P ==14 - 22.75== - 8.75 - 2.85P == - 8.75 P == - 8.75 / - 2.85

P==~3.07 pounds of peanuts 5 - 3.07 ==~1.93 pounds of cashews