## ebydaqueen17 3 years ago 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.

1. ebydaqueen17

|dw:1349426509260:dw| this si whut i got...is it right?

2. Jnlucero

13 pounds birdseed and 27 pounds seeds.

3. ebydaqueen17

no. thts not the answer....its supposed to be 17 1/3 lbs of birdseed and 22 2/3 lbs of sunflower seeds

4. ebydaqueen17

but i dnt noe how they got tht

5. ebydaqueen17

or maybe my textbook has an error

6. Jnlucero

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....

7. ebydaqueen17

its okay

8. ebydaqueen17

thnks