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13.07.2019 •
Mathematics
How many quarts of water should be mixed with how many quarts of a 30% vinegar solution to obtain 12 qt of a 25% vinegar solution? hint: water is 0% vinegar.
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Ответ:
Given that total volume of the solution = 12 quarts
Let volume of water added = x quarts
Then volume of 30% vinegar = (12-x) quarts
Given that x quarts of 0% water is mixed with (12-x)quarts of 30% vinegar to obtain 12 quarts of 25% solution
So we can write equation as:
[0% of x] + [30% of (12-x)] = [25% of 12]
or 0x + 0.30(12-x) = 0.25*12
or 0 + 3.6-0.30x = 3
or -0.30x = 3-3.6
or -0.30x = -0.6
x=2
Hence answer will be 2 quarts of water.
Ответ:
x=12 Proportion should be 1 2/3
Step-by-step explanation:
To find PT, subtract 26 from 65= 39
26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3
30/(4x-3)=2/3 (Cross Multiply)
30*3=90
2(4x-3)=8x-6
8x-6=90 (Add 6 to both sides)
8x=96 (Divide 8 from both sides)
x=12
QT is equal to 4(12)-3=45
RT is 75
Proportion: 65/39=1 2/3
75/45=1 2/3