Achef is going to use a mixture of two brands of italian dressing. the first brand contains 9% vinegar, and the second brand contains 14% vinegar. the chef wants to make 290 milliliters of a dressing that is 13% vinegar. how much of each brand should she use?

To answer this item, we let x be the amount of the solution that is 9% vinegar in mL and y be the amount of the solution that is 14% vinegar, also in mL. The system of linear equation that would best allow us to answer this item is,

                                    x + y = 290

                                    0.09x + 0.14y = 0.13(290)

The values of x and y in the equations are 58 and 232. Thus, the amounts of the 9% vinegar solution and 14% vinegar solution are 58 and 232 mL, respectively.