We know that
• The first brand contains 7% vinegar.
,
• The second brand contains 12% vinegar.
,
• The chef wants 280 milliliters with 9% vinegar.
Using the given information, we can express the following equation.
Notice that 0.07x represents the first brand, 0.12(280-x) represents the second brand, and 0.08(280) represents the final product the chef wants to make.
Let's solve for x.
Therefore, the chef needs 168 of the first brand and 112 of the second brand.
Notice that 280-168 = 112.