1. ## Word Problem

You buy a total of 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 $12.- and buy __________ pounds of the gourmet candy. I don't think the number is an integer, and I've tried setting this up as two equations but I think I'm making a mistake somewhere. I really appreciate the help! 2. Originally Posted by thebristolsound You buy a total of pounds of two kinds of candy. One is for your upcoming party and costs$ 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.- and buy __________ pounds of the gourmet candy.

I don't think the number is an integer, and I've tried setting this up as two equations but I think I'm making a mistake somewhere.

I really appreciate the help!
Let $\displaystyle x$ be the cheap candy and $\displaystyle y$ the expensive candy

$\displaystyle x + y = 4$

$\displaystyle 2x+10y = 12 \: \rightarrow \: x+5y = 6$

edit: wrong again >.<