Question

How many pounds of $2. 4/lb trail mix should a grocer combine with 5 lb of $1. 5/lb trail mix to get $1. 9/lb trail mix?


ANSWER IN POUNDS PLEASE I BEG YOU!!!!

WILL MARK BRAINLIEST

Answer 1

By solving a linear equation, we can see that you should use 4lb of the $2.4/lb mix.

How much of each mixture should you use?

First, if you use x pounds of the $2.4/lb mix, the total mass of mixture that you will have is:

(x + 5lb).

And that mass must cost $1.5/lb, so the costs on the left side must be equivalent to the cost on the right side.

x*$2.4/lb + 5lb*($1.5/lb) = (x + 5lb)$1.9/lb

Now we need to solve this for x

x*$2.4/lb +  5lb*($1.5/lb) = x*$1.9/lb + 5lb*$1.9/lb

x*$2.4/lb - x*$1.9/lb  = 5lb*$1.9/lb -  5lb*($1.5/lb)

x*$0.5/lb = $2

x = $2/($0.5/lb) = 4lb

You should use 4lb of the $2.4/lb mix.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491