SOLUTION: Jonathan needs a mixture of 86% oats and 14% corn. He currently has 21 pounds of a
mixture of 32% oats. How many pounds of oats should be added to the mixture
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Question 114405: Jonathan needs a mixture of 86% oats and 14% corn. He currently has 21 pounds of a
mixture of 32% oats. How many pounds of oats should be added to the mixture
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jonathan needs a mixture of 86% oats and 14% corn. He currently has 21 pounds of a
mixture of 32% oats. How many pounds of oats should be added to the mixture.
:
Write an equation based on the % oats
:
Let x = amt of 100% oats to be added to achieve 86% mixture
:
.32(21) + 1.0x = .86(x+21)
:
6.72 + x = .86x + 18.06
:
x - .86x = 18.06 - 6.72
:
.14x = 11.34
:
x = 11.34/.14
:
x = 81 pounds of oats required
:
:
Check solution:
.32(21) + 81 = .86(81 + 21)
6.72 + 81 = .86(102)
87.72 = 87.72
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
x = pounds of oats to be added to the mixture
(pounds of oats already in mixture) + (pounds of oats to be added)
divided by
(pounds of mixture + pounds of oats to be added)
equals .86
81 pounds of oats should be added to the mixture
check:
OK
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