SOLUTION: Jill wants to mix almonds and peanuts so that the retail price will be $4.90 per pound. Almonds cost $7 per pound, and peanuts cost $3 per pound. She wants to add 20% to the base p

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jill wants to mix almonds and peanuts so that the retail price will be $4.90 per pound. Almonds cost $7 per pound, and peanuts cost $3 per pound. She wants to add 20% to the base p      Log On


   



Question 1020337: Jill wants to mix almonds and peanuts so that the retail price will be $4.90 per pound. Almonds cost $7 per pound, and peanuts cost $3 per pound. She wants to add 20% to the base price for her own profit, after which she will have the final retail price. In what percentage ratio should she mix the almonds and the peanuts?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Jill wants to mix almonds and peanuts so that the retail price will be $4.90 per pound.
Almonds cost $7 per pound, and peanuts cost $3 per pound.
She wants to add 20% to the base price for her own profit, after which she will have the final retail price.
In what percentage ratio should she mix the almonds and the peanuts?
:
Assuming the the final retail price will be 1.2*4.90 = $5.88 a pound including the 20% profit
:
Assume there is a mix of 10 lb
:
Let x = amt of Almonds
then
(10-x) = amt of peanuts
:
3(10-x) + 7x = 5.88(10)
30 - 3x + 7x = 58.8
4x = 58.8 - 30
4x = 28.8
x = 28.8/4
x = 7.2 lb of almonds
then
10 - 7.2 = 2.8 lb of peanuts
:
" In what percentage ratio should she mix the almonds and the peanuts? "
7.2%2F10 * 100 = 72% almonds
2.8%2F10 * 100 = 28% peanuts