a grocer wants to mix two kinds of nuts. one kind sells for $0.95 per pound, and the other sells for $2.55 per pound. He wants to mix a total of 22 pounds and sell it for $1.20 per pound. How many pounds of each kind should he use in the new mix?

Question

a grocer wants to mix two kinds of nuts.  one kind sells for $0.95 per pound, and the other sells for $2.55 per pound.  He wants to mix a total of 22 pounds and sell it for $1.20 per pound.  How many pounds of each kind should he use in the new mix?

anonymous · Answer

$$1.20\times 22=.95x+2.55(22-x)$$ is your equation

anonymous · Answer

the left had side says you want 22 pounds at $1.20 per pound.  the right hand side says it is $.95 time the amount you sell for $.95 plus $2.55 times the rest.  now solve for x

anonymous · Answer

i would multiply both sides by 100 to get rid of the annoying decimals and solve 
$$120\times 22=95x+255(22-x)$$

anonymous · Answer

still dont get it

anonymous · Answer

ok lets go slow.

anonymous · Answer

he is going to sell 22 pounds at $1.22 per pound.  how much is he going to make?