SOLUTION: ok so i have been sick and i have a test tomorrow on dry mixture word problem. i understand some but I am stuck on this one! please help: Trail Snax Corp mixes ra

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Question 393206: ok so i have been sick and i have a test tomorrow on dry mixture word problem. i understand some but I am stuck on this one! please help:

Trail Snax Corp mixes raisins that cost $5 per kg with penuts that cost $3.80 per kghow many kilograms of raisins should be mixed with 10 killograms of peanuts to obtain a mixture worth $4.00!

Thank you! :)
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Trail Snax Corp mixes raisins that cost $5 per kg with penuts that cost $3.80 per kg
how many kilograms of raisins should be mixed with 10 killograms of peanuts to obtain a mixture worth $4.00!
:
A typical mixture problem
:
Let x = amt of raisins required
then
(10-x) = amt of peanuts
:
5x + 3.8(10-x) = 4(10)
5x + 38 - 3.8x = 40
5x - 3.8x = 40 - 38
1.2x = 2
x =
x = 1 kg of raisin
then
10 - 1 = 8 kg of peanuts
:
:
Check solutions using decimals
5(1.67) + 3.8(8.33) = 4(10)
8.35 + 31.65 = 40
40 = 40; confirms our solution
:
Hope you are feeling better!