A coffee mixture has beans that sell for $0.72 a pound and beans that sell for $0.52. If 110 pounds of beans create a mixture worth $0.74 a pound, how much of each bean is used?

Question

benji · Answer

Okay, let's let the $0.72 a pound mixture be represented as x, and let's let the $0.52 be represented with y. We know that the two mixtures have to add up to 110 lbs at $0.74 a pound so $$110*0.74=81.4$$ With this information we can write the equation$$0.72x+0.52y=81.4$$ So now we know $$x+y=180$$ or $$x=-y+180$$And we can plug this x into the first equation to get$$0.72(-y+180)+0.52y=81.4$$What do you think the next step is?

mejia941 · Answer

im confused

benji · Answer

What are you confused on?

mejia941 · Answer

where did you get the 180 from???

benji · Answer

I meant 110 not 180, it's going to be the total pounds we have.

benji · Answer

So with the equation $$0.72(−y+110)+0.52y=81.4$$What's the next step?

mejia941 · Answer

well i did the equation and got 79=81.4

abdiweli · Answer

How did you get 79 please