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At the deli Jennifer bought roasted turkey and provolone cheese. The turkey costs $6.35 per pound and the cheese costs $4.75 per pound. In total, she bought 3 pounds and the price was $17.13 How many pounds of each did she buy?

Respuesta :

She bought two pounds of turkey and one pound of cheese

Let the amounts of Turkey Jennifer bought be [tex] T [/tex] pounds and that of Cheese be [tex] C [/tex] pounds.

From the given information,

[tex] 6.35T+4.75C=17.13\\
T+C=3 [/tex]

Solving the above two equations together,

[tex] 6.35T+4.75(3-T)=17.13\\
(6.35-4.75)T+4.75*3=17.13\\
1.6T=2.88\\
T=\frac{2.88}{1.6}\\
T=1.8
[/tex]

Thus, Jennifer bought [tex] 1.8\;pounds [/tex] of Turkey and [tex] 3-1.8=1.2\;pounds [/tex] of Cheese.

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