A chef is going to use a mixture of two brands of Italian dressing.

Question

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 15% vinegar. The chef wants to make 380 milliliters of a dressing that is 11% vinegar. How much of each brand should she use?

Answer 1

5x +15y = 11(380)'

x+y= 380

y=380-x

5x+15(380-x) = 11(380)

5x-15x = 11(380)-15(380)

10x = 4(380) = 1520

x= 1520/10= 152 ml of 5%

y = 380-152 = 228 ml of 15%

15-11=4

11-5= 6

6/4= 3/2 = 1.5 = how many time more 15% is needed than 5%

x+y = 380

3/2 = y/x = 228/152 =57/38=3/2

check the answers

.05(152)+.15(228)

= 7.6 + 34.2= 41.8 ml vinegar

=.11(380) = 41.8 ml vinegar