Orly uses 2 cups of raisins for every 9 cups of trail mix she makes. how many cups of trail mix will she make if she uses 12 cups of raisins?

So ratio si 2 to 9 or 2:9
so 12 cups of rasins to x cups of trail mix
ratio is 12 to x or 12:x

it has to be the same ratio so makek fractions and
2/9=12/x
solve for x
mulitply both sides by x
2x/9=12
multiply both sides by 9
2x=108
divide by 2
x=54
answer is 54 cups of trail mix

First, I know that for 2 cups of raisins for every 9 cups of trail mix and I am going to divide, 9÷2 and got 4.5 so for every cup of raisins, I need to multiply it by 4.5 to get how much trail mix I had in total so I need to multiply 12× 4.5. to get my answer so 12×4.5=54 so I had 54 cups of trail mix.

I hope this helped