Question
Asked Oct 14, 2019

The manager of a specialty food store combined almonds that cost $6.50 per pound with wainuts that cast $5.50 per pound. How many pounds of each were used to make a 100-pound mixture that osts $5.87 per pound?

check_circleExpert Solution
Step 1

Given that the manger of specialty food store combined almond and walnut that costs $6.50 and $5.50 per pound respectively.

let the number of almond be x.

let the number of walnut by y.

Then according to the given condition:

x y 100
6.50x+5.50y 5.87 (100)
...2)
6.50x 5.50y 587
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x y 100 6.50x+5.50y 5.87 (100) ...2) 6.50x 5.50y 587

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Step 2

Multiply equation 1 by 5.50 subtract both the equation.

5.50x5.50y 550
6.50x5.50y 587
-x-37
x 37
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5.50x5.50y 550 6.50x5.50y 587 -x-37 x 37

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Step 3

Now substitute x=37 in equation 1 in order...

37 y 100
y 100 37
y=63
help_outline

Image Transcriptionclose

37 y 100 y 100 37 y=63

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Math

Algebra

Numbers