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kaheart [24]
3 years ago
13

A store is having a sale on trail mix and jelly beans. For 7 pounds of trail mix and 9 pounds of jelly beans, the total cost is

$ 37 . For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $ 17 . Find the cost for each pound of trail mix and each pound of jelly beans.
Mathematics
1 answer:
Vlad [161]3 years ago
7 0

Answer:

The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

Step-by-step explanation:

Let each pound of trail mix cost x dollars and each pound of jelly beans cost y dollars.

Given:

7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.

So, 7x+9y=37--------------- 1

Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.

So, 5x +3y=17--------------- 2

Multiplying equation 2 by -3, we get

(5x +3y=17)\times -3\\-15x-9y=-51-------- 3

Now, adding equations 1 and 3, we get

7x+9y-15x-9y=37-51\\7x-15x=-14\\-8x=-14\\x=\frac{-14}{-8}=\$1.75

Now, plug in x=1.75 in equation 1 and solve for y.

7(1.75)+9y=37\\12.25+9y=37\\9y=37-12.25\\9y=24.75\\y=\frac{24.75}{9}\\ y=\$2.75

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

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