Question

A coffee mixture has beans that sell for $1.35 per pound and beans that sell for $1.05 per pound. If 120 pounds of beans create a mixture worth $1.15 per pound, how many pounds of each bean is used?
50 lb of $1.35/lb; 70 lb of $1.05/lb
40 lb of $1.35/lb; 80 lb of $1.05/lb
45 lb of $1.35/lb; 75 lb of $1.05/lb

Answer 1

ok

Answer 2

So what do I do?

Answer 3

Not sure I did that right...I'll check it in a sec. Wife calling :P

Answer 4

lol ok

Answer 5

Go ahead Hero...I was setting up two simultaneous equations for it but I'm not sure that's correct.

Answer 6

hero?

Answer 7

Well, you can do it also by just trying the answers. Multiply them out to get a total and divide that by 120 to see if it = $1.15

Answer 8

k

Answer 9

Sorry, my desktop screen just outrageously crashed on me for no apparent reason!

Answer 10

Look at the second answer:\[ (40*1.35)+(80*1.05)=138\]\[\frac{138}{120}=1.05\]

Answer 11

Oops..that should have been 1.15 at the end...anyway :)

Answer 12

Thanks. @hero its okay

Answer 13

I see the mistake.

I think I had it right after all:
1.35x +1.05y=(120)(1.15)
x+y=120

I neglected to multiple $1.15 times the total pounds.

Answer 14

If you solve for x and y, you will get 40 and 80.

Answer 15

Great! Thanks

Answer 16

Me and my silly mistakes :) You're welcome...if you need help solving the equations above just so you know how to do it let me know.

Answer 17

Oh I understand thanks tho

Answer 18

I was going to post that equation as a hint before my desktop screen crashed for no reason. I spent the entire hour troubleshooting. I think my surge protector died on me. Had to switch to another one.

Answer 19

oh ok

Answer 20

Good thing someone was able to help you

Answer 21

Yup