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How many pounds of the $1.65 candy does he use?A candy maker mixes 2 types of candy so...

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asiangirl413 | Student, Grade 9 | (Level 1) Honors

Posted May 2, 2012 at 3:05 AM via web

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

Posted May 2, 2012 at 3:26 AM (Answer #1)

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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.

 

 

 

 

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