A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 7% vinegar. The chef wants to make 310 milliliters of a mixture that contains 19% vinegar.

Question

A chef plans to mix 100%

 vinegar with Italian dressing. The Italian dressing contains 7%

 vinegar. The chef wants to make 310

 milliliters of a mixture that contains 19%

 vinegar. How much vinegar and how much Italian dressing should she use? 

Answer 1

	Amount	Part (concentration)	Total
Ingredient 1	x	1	x
Ingredient 2	y	.07	.07y
Final	310	.19	(310)(.19)=58.9

x + y =310

x + .07y = 58.9

Two equations, two unknowns, use substitution or elimination to solve for x and y.