Math Help - algebra help

a coffee merchant has coffee beans that sell for $9.00 per pound and $12.00 per pound. The two types are to be mixed to create 100 lbs of a mixture that will sell for 11.25 per pound. how much of each type of bean should be used in the mixture?

Originally Posted by lizard4

a coffee merchant has coffee beans that sell for $9.00 per pound and $12.00 per pound. The two types are to be mixed to create 100 lbs of a mixture that will sell for 11.25 per pound. how much of each type of bean should be used in the mixture?

Hello,

let x be the amount of coffee which costs $9 per lbs
then you have (100-x) lbs of coffee which costs $12

Compare the prices:

9x + (100-x)*12 = 100 * 11.25

9x + 1200 - 12x = 1125

-3x = -75

x = 25

Terefore you have to use 25 lbs of coffee à 9 $/lbs
and 75 lbs of coffee à 12 $/lbs.