
Zen T. answered 09/09/19
Criminal Justice Major Experienced in Writing and Chemistry
Alright, so we can list out the facts
32 oz = Medium Drink
X oz = Large drink
A third (1/3) just means that something is split up into three parts and we are taking just one of those parts.
So we can imagine the Large Drink is being split up into to 3 parts, where each part is X/3
And we know that the Medium Drink is 2/3, so we know we are dealing two thirds, or 2 parts. This would be 2*(X/3)
We also know that the Medium Drink is 32 oz meaning we can now write out an equation:
32 = 2(X/3)
Then you divide by two on both sides:
16 = X/3
Then multiply by 3 on both sides
48 = X
So the Large Drink has 48 oz