SOLUTION: A candy company mixes 20% fat- content chocolate with a 15% fat- content chocolate to obtain 50 pounds of a 16% fat content chocolate. How many pounds of each type of chocolate sh

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Question 742477: A candy company mixes 20% fat- content chocolate with a 15% fat- content chocolate to obtain 50 pounds of a 16% fat content chocolate. How many pounds of each type of chocolate should be used?
(write 2 equations and solve this system of equations.)
Answer by lwsshak3(11628) About Me  (Show Source):
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A candy company mixes 20% fat- content chocolate with a 15% fat- content chocolate to obtain 50 pounds of a 16% fat content chocolate. How many pounds of each type of chocolate should be used?
(write 2 equations and solve this system of equations.)
***
let x=lbs of 20% fat chocolate to mix
let y=lbs of 15% fat chocolate to mix
..
20%x+15%y=16%*50
x+y=50
y=50-x
20%x+15%(50-x)=16%*50
0.2x+7.5-0.15x=8
0.05x=0.5
x=10
y=50-x=40
lbs of 20% fat chocolate to mix=10
lbs of 15% fat chocolate to mix=40