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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?

 Oct 4, 2022
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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

 Oct 4, 2022

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