# How many pounds of the \$1.65 candy does he use?A candy maker mixes 2 types of candy so that he can sell 100 lbs of it at \$1.75 a pound. He mixes candy worth \$1.65 a pound with some worth \$1.90 a...

How many pounds of the \$1.65 candy does he use?

A candy maker mixes 2 types of candy so that he can sell 100 lbs of it at \$1.75 a pound. He mixes candy worth \$1.65 a pound with some worth \$1.90 a pound. How many pounds of the \$1.65 candy does he use?

rcmath | High School Teacher | (Level 1) Associate Educator

Posted on

Let x be the number of pounds needed from the 1.65 candy.

We have the following

Type 1    +    Type 2     ---->   Mix

x lb              (100-x)lb            100lb

\$1.65/lb         \$1.90/lb              \$1.75/lb

If we look at the cost of moxing the candy we get the following.

`1.65*x+1.90(100-x)=1.75*100`

`1.65x+190-1.90x=175=>`

`-0.25x=-15=>x=60`

Hence we need 60lb of the \$1.65 candy and 40lb of the \$1.90 candy.

We’ve answered 317,736 questions. We can answer yours, too.