SOLUTION: Cashew nuts are sold at $15.00/kg. Walnuts are sold at $12.00/kg. What quantities of each nut would a store owner put into 100-kg barrel so that it could be sold for $13.20/kg?

Question 1105613: Cashew nuts are sold at $15.00/kg. Walnuts are sold at $12.00/kg. What quantities of each nut would a store owner put into 100-kg barrel so that it could be sold for $13.20/kg?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
A very routine mixture exercise question.

x of $15/kg cashews
100-x of $12/kg walnuts

Find x and evaluate 100-x.

STEPS

-----------kilograms of the cashews, $15 per kg

--------kilograms of the walnuts, $12 per kg
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Think of the three per-pound prices on a number line: $12, $13.20, and $15.

The price for the mixture, $13.20, is 40% of the way from $12 to $15:
; ; = 40%.

That means 40% of the mixture should be the $15 per pound cashews.

40% of 100kg is 40kg.

The store owner should use 60kg of walnuts and 40kg of cashews.

-------------------------------------

Here is another variation of the same method for finding the answer.

In this chart, the $12 and $15 per kg prices are in the first column and the $13.20 per kg price of the mixture is in the second column. Then the numbers in the third column are the differences, calculated diagonally, between the numbers in the first and second columns: 13.20-12 = 1.20; 15-13.20 = 1.80.

When the numbers are used this way, the 1.80 and 1.20 are the ratio in which the $12 per pound walnuts and $15 per pound cashews should be mixed.
, so the nuts should be mixed 3 parts walnuts to 2 parts cashews.

3 parts to 2 with a total of 100kg means 60kg of walnuts and 40kg of cashews.
RELATED QUESTIONS
Cashew nuts are sold at $15.00/kg. Walnuts are sold at $12.00/kg. What quantities of each (answered by greenestamps)
A shopkeeper wants to mix three types of nut to produce a special nut mix. She will mix... (answered by josgarithmetic)
A grocer wants to mix cashew nuts worth $14 per kg with 15 kg of peanuts worth $5 per kg. (answered by Alan3354)
a department store manager decided to mix cashew and pecans to get 400 kg of nuts to sell (answered by josgarithmetic)
A 2 kg bag of walnuts is mixed with 3 kg of pecans, 4 kg of hazelnuts, and 1 kg of brazil (answered by Theo,ikleyn)
A specialty store owner mixes peanuts worth 3.60 per pound with cashew nuts worth 8.40... (answered by jorel555)
A clothing store opens with 75 pairs of jeans on a sale table. By noon, 10 pairs have... (answered by solver91311)
a store keeper has cashew nuts that sell for $130 per kilo gram and peanuts that sell for (answered by mananth)
At a super market flour was sold in 12 kg.and 15 kg bags.a baker found that by buying... (answered by Theo)