Answered

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Ann Marie wishes to mix peanuts worth $1.38 a pound with cashews worth $2.10 a pound to get 8 pounds of mixture worth $1.65 a pound. How many pounds of peanuts does she need?

Sagot :

Answer:

Step One: Review the givens

Peanuts: 2.90x

Cashews: 4.60(51-x)

Step Two: Create an equation

3.50(51)=2.90x+4.60(51-x) Distribute

178.5=2.90x+234.6-4.60x Subtract both sides by 234

178.5-234.6=2.90x-4.60x Combine like terms

-56.1=-1.7x Divide both sides by -1.7

33=x

∴There was 33 pounds of peanuts used and 18 pounds of cashews used.

Explanation:

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