00:01
So for this problem, we are told that a recipe for sparkling grape juice calls for one and a half quarts of sparkling water and three -fourths of a quart of grape juice.
00:14
So a wants to know how much sparkling water we would need to mix with nine quarts of grape juice.
00:20
Now, what i'm going to do first here is make these decimals.
00:24
So one and a half quarts is the same as 1 .5 quarts and three -fourths is the same as 0 .75 quarts.
00:33
So if i were to set this up as a ratio, i would have, we're going to do water over juice.
00:45
So water would be 1 .5 over juice, which is 0 .75.
00:51
And i'm going to set that equal to the 9 quarts of grape juice, which would be in the denominator, and i'm trying to determine how much water i would need, which would go in the numerator.
01:02
So from here i'm going to cross multiply.
01:05
That would give me a 0 .75x equals 9 times 1 .5, which is 13 .5.
01:15
Then i'm going to divide both sides by 0 .75, and that gives me 18 quarts.
01:36
So that tells me that for 9 quarts of grape juice, i would need 18 quarts of water.
01:46
So that would be in the ratio of 9 to 18, which would reduce to 1 to 2...