SOLUTION: You buy a total of 4 pounds of two kinds of candy. One is for your upcoming party and costs $2.- per pound. However, you also treat yourself to a fancy kind that costs $10 per poun

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You buy a total of 4 pounds of two kinds of candy. One is for your upcoming party and costs $2.- per pound. However, you also treat yourself to a fancy kind that costs $10 per poun      Log On


   

Question 110568: You buy a total of 4 pounds of two kinds of candy. One is for your upcoming party and costs $2.- per pound. However, you also treat yourself to a fancy kind that costs $10 per pound, to be enjoyed in solitude. You spend a total of $12. How many pounds of gourmet candy did you buy?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2X+10(4-X)=12
2X+40-10X=12
-8X=12-40
-8X=-28
X=-28/-8
X=3.5 POUNDS OF 2 DOLLAR CANDY.
4-3.5=.5 POUNDS OF 10 CANDY.
PROOF
2*3.5+.5*10=12
7+5=12
12=12