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A butcher has some hamburger that is 23% fat and some that is 16% fat. How many pounds of each should be mixed to make 70 lb of hamburger that is 18% fat?

Question

A butcher has some hamburger that is 23% fat and some that is 16% fat. How many pounds of each should be mixed to make 70 lb of hamburger that is 18% fat?

check_circleAnswer
Step 1

Let x pounds of hamburger that is 23% fat be used. 

Then the number of pounds of hamburger that is 16% fat  used =70-x . 

according to given condition , we have

 

0.23x+0.16 (70 x)= 0.18x 70
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0.23x+0.16 (70 x)= 0.18x 70

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Step 2

On solving the equa...

0.23x 11. 0.16x = 12.6
0.07x 12.6 11.2
0.07x 1.4
1.4
20
0.07
70 x 70- 20 = 50
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0.23x 11. 0.16x = 12.6 0.07x 12.6 11.2 0.07x 1.4 1.4 20 0.07 70 x 70- 20 = 50

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Math

Algebra

Equations and In-equations

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