SOLUTION: seller has 80kgs of peanuts worth $1.50/kg and 50 kg of cashews worth $4.50/kg. he wants to make a 100 kgs mixture to sell at $2.61/kg . find the number of kgs of cashews and peanu
Question 1179369: seller has 80kgs of peanuts worth $1.50/kg and 50 kg of cashews worth $4.50/kg. he wants to make a 100 kgs mixture to sell at $2.61/kg . find the number of kgs of cashews and peanuts sold. how many cashews are left over at the end? Found 2 solutions by josgarithmetic, ankor@dixie-net.com:Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
PRICE MASS COST
CASHEWS $4.5/kg c 4.5c
PEANUTS $1.5/kg p 1.5p
Mixture $2.61/kg 100 kg 4.5c+1.5p
------how much peanuts to use
- -----how much cashews to use
You can find the differences from how many each he started with. Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website! seller has 80kgs of peanuts worth $1.50/kg and 50 kg of cashews worth $4.50/kg.
he wants to make a 100 kgs mixture to sell at $2.61/kg .
find the number of kgs of cashews and peanuts sold.
:
let x = amt of $4.50 cashews
total mixture is 100 kg, therefore:
(100-x) = no. of $1.50 peanuts
:
4.5x + 1.5(100-x) = 2.61(100)
4.5x + 150 - 1.5x = 261
4.5x - 1.5x = 261 - 150
3x = 111
x = 111/3
x = 37 kg of cashews
then
100 - 37 = 63 kg of peanuts
:
how many cashews are left over at the end?
50 - 37 = 13 kg left over