Answer:
54 and 216
Explanation:
If x is the amount of 7% vinegar, and y is the amount of 12% vinegar, then the total volume is:
x + y = 270
And the total amount of vinegar is:
0.07x + 0.12y = 0.11 (270)
0.07x + 0.12y = 29.7
Solve the system of equations. Using substitution:
0.07x + 0.12 (270 − x) = 29.7
0.07x + 32.4 − 0.12x = 29.7
0.05x = 2.7
x = 54
y = 216
The chef needs 54 mL of the 7% vinegar, and 216 mL of the 12% vinegar.