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ebydaqueen17
birdseed costs .59 and seeds cost .89; angie wants to mix them to get 40 lbs and sell it at .76/lb. how many pounds of each will she use? show work.
|dw:1349426509260:dw| this si whut i got...is it right?
13 pounds birdseed and 27 pounds seeds.
no. thts not the answer....its supposed to be 17 1/3 lbs of birdseed and 22 2/3 lbs of sunflower seeds
but i dnt noe how they got tht
or maybe my textbook has an error
lets see. let x be the the weight in pounds of bird seeds. that makes the weight of sunflower seeds to be 40-x. since total cost = price x amount, then \[0.59\left( x \right)+0.89\left( 40-x \right)=0.76\left( 40 \right)\]\[59x+89(40-x)=76(40)\]\[59x+3560 -89x=3040\]\[-30x=-520\]\[x=\frac{ 52 }{ 3}=17\frac{ 1 }{ 3 }\]therefore, the weight of birdseeds must be 17 1/3 pounds while the weight of sunflower seeds is 40-17 1/3 = 22 2/3 pounds. and sorry i misled....