I need help asap with this math problem

Question

A chef is going to use a mixture of two brands of italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. the chef wants to make 380 milliliters of dressing that a 7% vinegar. how much of each brand should she use?

 

First brand:____ milliliters

Second brand:____milliliters

Answer 1

Since the chef wants to make 380 milliliters of dressing that has 7% of vinegar, we can calculate the amount of vinegar in milliliter  in the dressing and that is 380 *7/100 ml = 26.6 ml

now, let's assume the amount of first brand of dressing is X ml

 and the amount of second brand of dressing is Y ml. 

We can write two equations from the question. They're

X+Y=380 => X=380-Y.......(first equation)

and X*6/100 +Y*11/100 =26.6......(second equation)

=> 6X+11Y =2660

=> 6(380-Y) +11Y =2660 (putting the value of X from the first equation)

=> 2280-6Y+11Y=2660

=> 5Y=380

Y=76 ml

now, putting the value of Y in the first equation, we get X= 304 ml (Answered)

 

I hope you get the solution. But if you've any problem, let me know. Good luck