# 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?

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### 1 Answer

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.**