A grocer wants to mix two kinds of nuts. One kind sells for $1.10 per pound, and the other sells for $2.40 per pound. He wants to mix a total of 30 pounds and sell it for $2.15 per pound. How many pounds of each kind should he use in the new mix?
Let x be the number of lbs of the cheaper nuts
So....30 - x = the number of lbs of the more expensive nuts
We have this equation....
1.10 (x) + 2.40 (30 - x) = 2.15 (30) simplify
1.1x + 72 - 2.4x = 64.50
-1.3x + 72 = 64.50 subtract 72 from both sides
-1.3x = -7.50 divide both sides by -1.3
x = 75/13 lbs of the cheaper nuts
30 - 75/13 = 315/13 lbs of the more expensive nuts