SOLUTION: how many pounds of cashews costing $8.00 per pound must be mixed with peanuts costing $3.00 per pound to make a 25 pound mixture that costs $5.00 per pound
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-> SOLUTION: how many pounds of cashews costing $8.00 per pound must be mixed with peanuts costing $3.00 per pound to make a 25 pound mixture that costs $5.00 per pound
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Question 1078373: how many pounds of cashews costing $8.00 per pound must be mixed with peanuts costing $3.00 per pound to make a 25 pound mixture that costs $5.00 per pound Answer by ikleyn(52852) (Show Source):
Let x be the amount (in pounds) of cashews costing $8.00 per pound to be mixed.
Then the amount of peanuts costing $3.00 per pound is (25-x)
The equation based on the price of the mixture is
8x + 3(25-x) = 25*5.
Simplify and solve for x:
8x + 75 - 3x = 125,
5x = 50 ---> x = {50/5}}} = 10.
Answer. 10 pounds 0f the $8.00 cashew is to be mixed with 15 pounds of the $3.00 peanuts.
Chheck. $8*10 + $3*15 = 80 + 45 = 125 dollars.
$25*5 = 125 dollars. Correct !!
