Hal is mixing bug spray for his roses. He has one gallon with a mixture of 90% water and 10% chemical. However, he needs a mixture that is 98.5% water. How much water should be added to the mixture to make it 98.5% water?
Please help me ;( Ill love you forever!
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so you have .9 * 1 gallon = .9 gallons water, and .1 * 1 gallon = .1 gallons chemical.
By just adding water, you want to reduce the chemical from 10% to 1.5%. (Note 100% - 98.5% = 1.5%)
So .1 gallons = 1.5% of the total mixture.
Let T be the total amount of mixture...
.015 * T = .1
T = .1 / .015
T = 6.6667 gallons
So the total amount of mixture after adding water is 6.6667 gallons. But remember you already had 1 gallon, so the total amount of water added is 5.6667 gallons.
Hope this helps.