Inactive Tutor answered • 10/11/16
Tutor
New to Wyzant
Since water is added the solutions must be in terms of water.
48% solids is 52% water
40% solids is 60% water
0.52(1) + 1.00x = 0.60(1 + x)
Can you solve for x?
Inactive Tutor
Check your division/decimal points.
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10/11/16
Inactive Tutor
If you present work, I can locate any errors.
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10/11/16
Tom M.
0.52 + x = 0.60 + 0.60x
-0.4x = .08 => 0.4x = -.08 => -.02
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10/11/16
Inactive Tutor
0.52 - 0.60 = ?
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10/11/16
Tom M.
I was taught to keep the variables on the left if possible.
0.52 + x = 0.60 + 0.60x
-0.4x = .08
0.4x = -.08
x = -.02
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10/11/16
Inactive Tutor
That's OK, 0.52 - 0.60 = -0.08!
Correct that subtraction.
Be careful with decimals when dividing!
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10/11/16
Tom M.
I wasn't doing 0.52 - 0.60 = -0.08 I was doing 0.60 - 0.52 = .08
0.52 + x = 0.60 + 0.60x (first move 0.60x to the left side)
0.52 - 0.4x = 0.60 (then move 0.52 over to the right side)
-0.4x = .08 (multiple both sides by negative one)
0.4x = -0.08 (then divide -0.08 by 0.4)
x = -0.02
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10/12/16
Inactive Tutor
If you are subtracting (don't use the word "move") 0.60x from the right side, you must subtract 0.60x from the left side.
0.52 + x = 0.60 + 0.60x
0.52 + x - 0.6x = 0.60 + 0.60x - 0.60x
0.52 + 0.4x = 0.60
0.52 - 0.52 + 0.4x = 0.60 - 0.52
0.4x = 0.08
x = 0.2
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10/12/16
Tom M.
Ok thank you. I see where my mistake was.
The answer is 0.2. So I'm suppose to add 0.2 of water to reduce the solids down to 40%.
But what is 0.2? Do we need to convert the gallon into ounces?
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10/13/16
Inactive Tutor
Gallon was the unit of measure in the beginning.
0.2 gallons must be added.
Whether you convert to ounces (or any other measure) depends on the requirement of you teacher.
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10/13/16
Tom M.
10/11/16