need help i dont wanna stay back lol

Question

A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 80% pure antifreeze. In order to obtain 140 gallons of a mixture that contains 60% pure antifreeze, how many gallons of each brand of antifreeze must be used

First brand___ gallons

Second brand___gallons

Answer 1

Here are the equations for this problem.

Let x = 1st brand

Let y = 2nd brand

We know there are 140 gallons of antifreeze. So the first equation is:

x+y=140

Now for the mixture equation:

0.55x+0.80y=0.60(140)

Are you able to solve the system of equations using substitution or elimination?