20 pts and a mark for right answer!!! A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9 % vinegar, and the second brand contains 13 % vinegar. The chef wants to make 200 milliliters of a dressing that is 12 % vinegar. How much of each brand should she use?

Answer:The chef needs 50 milliliters of the first brandThe chef needs 150 milliliters of the second brandStep-by-step explanation:A chef is going to use a mixture of two brands of Italian dressing. Let x = the amount (in milliliter) of the first brand of Italian dressing .Let y = the amount (in milliliter) of the second brand of Italian dressing .The first brand contains 9 % vinegarThis means that it contains 9/100 × x = 0.09xThe second brand contains 13 % vinegarThis means that it contains 13/100 × y= 0.13yThe chef wants to make 200 milliliters of a dressing that is 12 % vinegar. This means that the amount of vinegar in the mixture would be 12/100 × 200 = 24Also, the volume of first + the volume of second brand will be 200 milliliters ( volume of mixture). This meansx + y = 200 - - - - - - - -1The combined amount of vinegar in both brands = the amount of vinegar required in the mixture. This means0.09x + 0.13y = 24 - - - - - - - - 2Substituting x = 200 - y into equation 2, we have0.09(200-y) + 0.13y = 2418 - 0.09y + 0.13y = 24-0.09y +0.13y = 24-180.04y = 6y = 6/0.04 = 150 millilitersx = 200 - y = 200 - 150x = 50 milliliters