Question 159006
How many pounds of hamburger that costs 1.60 per pound must be mixed with 70 pounds of hamburger that costs 2.10 per pound to make a mixture that costs 1.70 per pound?

Here is the set up:

[first mixture] + [second mixture] = [total mixture]

[x(1.60)] + [2.10(70)] = [1.70(x + 70)]

We are looking for x.

x1.60 + 147 = 1.70x + 119

x1.60 - 1.70x = -147 + 119

-0.1x = -28

x = -28/-0.1

x = 280

How many pounds of hamburger that costs 1.60 per pound must be mixed?

The answer is 280 pounds.