# SOLUTION: coffe worth 90.00 per klo. is mix with a coffee worth 75.00 per klo. to produce 300 klo. grams of the mixture worth 80.00 per klo. how many klos. of each type should she use?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: coffe worth 90.00 per klo. is mix with a coffee worth 75.00 per klo. to produce 300 klo. grams of the mixture worth 80.00 per klo. how many klos. of each type should she use?      Log On

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 Click here to see ALL problems on Mixture Word Problems Question 98671: coffe worth 90.00 per klo. is mix with a coffee worth 75.00 per klo. to produce 300 klo. grams of the mixture worth 80.00 per klo. how many klos. of each type should she use?Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website!Let x=amount of 90/kilo needed Then (300-x)=amount of 75/kilo coffee needed Now we know that the value of 90/kilo coffee (90x) plus the value of the 75/kilo coffee (75(300-x)) has to equal the value of the final mixture(80)(300)). So our equation to solve is: 90x+75(300-x)=80*300 get rid of parens 90x+22500-75x=24000 subtract 22500 from both sides 90x-75x+22500-22500=24000-22500 collect like terms 15x=1500 divide both sides by 15 x=100 kilos-------------------------amount of 90/kilo coffee needed 300-x=300-100=200 kilos---------------amount of 75/kilo coffee needed CK 90*100+75*200=80*300 9000+15000=24000 24000=24000 Hope this helps---ptaylor