Answer:
1 quart
Step-by-step explanation:
If x is the volume of 6% boric acid, then:
0.06x + 0.15(2) = 0.12(x + 2)
0.06x + 0.3 = 0.12x + 0.24
0.06 = 0.06x
x = 1
As per linear equation, the volume of the 6% solution must be used is 1 quart.
A linear equation is an equation that contains one or multiple variables with the highest power of the variable is 1.
Let, the mixture of 6% acid is 'x' quarts.
Therefore, the amount of acid in that mixture is
= x × 6% quarts
= 0.06x quarts
Again the amount of acid in 15% of 2quarts mixture is
= 2 × 15% quarts
= 0.3 quarts
Now, the acid in new 12% solution of (x + 2) quarts mixture is
= (x + 2) × 12% quarts
= 0.12(x + 2) quarts
Therefore,
0.06x + 0.3 = 0.12(x + 2)
⇒ 0.06x + 0.3 = 0.12x + 0.24
⇒ 0.12x - 0.06x = 0.3 - 0.24
⇒ 0.06x = 0.06
⇒ x = 1
Learn more about linear equation here: https://brainly.com/question/14879930
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