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. 

a. the law of proportion states the combination of 2 atoms in a specific ratio to produce multiple compounds such as the given statement of question ‘1st compound contains 88.8 % cu ’ indicates 88.8 g of cu is present along with 11.2 g oxygen in 100 g of compound whereas the statement ‘2st compound contains 79.9 % cu ’ indicates 79.9 g of cu is present along with 20.1 g oxygen in 100 g of compound

1st compound contains 88.8 g cu

for cu

m = 63 g /mol

atomic % = 88.8 /63 = 1.42

for o

m = 16 g /mol

atomic % = 11.2 /16 = 0.7

b. the emperical formula of 1st compound is

cu1.4o0.7

cu2o