SOLUTION: Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work

Algebra ->  Equations -> SOLUTION: Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work       Log On


   

Question 822672: Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.
A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound.
If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. 

 If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

Let highlight_green%28n%29 represent the number of pounds of cashews

 and highlight_green%2810-n%29the number of pounds of peanuts

Question states***

 $5.6n + $2.3(10-n) = $3.59/lb*(10lb) ***

 5.6n + 23 - 2.3n = 32.9

 3.3n = 9.9

 n = 3, the number of pounds of cashews

and 10-n = 7, the number of pounds of peanuts

CHECKING our answer***

 $16.80 + $16.10 = $32.90