SOLUTION: How many pounds of hamburger that cost $1.10 per pound must be mixed with 50 pounds of hamburger that cost $1.80 per pound to make a mixture that cost $1.30 per pound

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Question 49309: How many pounds of hamburger that cost $1.10 per pound must be mixed with 50 pounds of hamburger that cost $1.80 per pound to make a mixture that cost $1.30 per pound
Found 2 solutions by Nate, atif.muhammad:
Answer by Nate(3500) About Me  (Show Source):
Answer by atif.muhammad(135) About Me  (Show Source):
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Let the number of pounds of $1.10 hamburgers be x.

Altogether, this will cost 1.10x -- Total cost of $1.10 hamburgers.

Total cost of $1.80 hamburgers --- 1.80 x 50 = 18 x 5 = $90

Total pounds of hamburgers = (x+50)

Total cost of mixture = 1.30 x (x+50) = 1.30x + 65

So this is our equation:

1.10x + 90 = 1.3x + 65

0.2x = 25

x = 125 pounds