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John is making a large bag of mixed nuts. Peanuts cost $4 per pound. Cashews cost $9 per pound. Pecanswere found on sale for $5.50 per pound. John decides to mix 3 pounds of peanuts, 0.5 pound of cashews, and1.5 pounds of pecans. How much did the mixture cost to make?

Sagot :

Peanuts cost $4/pound.

Cashews cost $9/pound.

Pecans cost $5.50/pound.

The final mixture cost is the amount of each nut by the cost of them by pound.

[tex]3pounds\cdot\frac{4}{\text{pound}}\text{ + 0.5pounds}\cdot\frac{9}{\text{pound}}\text{ + 1.5pounds}\cdot\frac{5.50}{\text{pound}}\text{ = 24.75 dollars}[/tex]

The mixture cost $24.75

Then, by pound, we have to sum all the pounds:

3 + 0.5 + 1.5 = 5 pounds

[tex]\frac{24.75}{5}=\text{ 4.95}[/tex]

The final result is $4.95 by pound.

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