The ratio of orange juice to pineapple juice in Tropical Treat punch is 4 to 3. Bill has 64oz of orange juice. How much pineapple juice does he need?
If the ratio of orange juice to pineapple juice is 4 to 3, then the total ratio of both juices is 4+3 = <<4+3=7>>7
If Bill has 64oz of orange juice, then the amount of pineapple juice she needs is 3/4*64 = <<3/4*64=48>>48 ounces. Answer: \boxed{48}.
To find out how much pineapple juice Bill needs, we can use the ratio given and the amount of orange juice he has.
The ratio of orange juice to pineapple juice is 4 to 3, which means for every 4 parts of orange juice, there are 3 parts of pineapple juice.
Bill has 64oz of orange juice, so we need to determine how many parts of pineapple juice are equivalent to 64oz of orange juice.
If 4 parts of orange juice correspond to 64oz, then 1 part of orange juice is equal to 64oz / 4 = 16oz.
Now, since the ratio is 4 to 3, with 1 part of orange juice equal to 16oz, 1 part of pineapple juice would be 16oz as well.
Therefore, Bill needs 3 parts of pineapple juice.
To find out the total amount of pineapple juice Bill needs, we multiply 3 parts by 16oz per part: 3 * 16oz = 48oz.
Therefore, Bill needs 48oz of pineapple juice.
To solve this problem, we need to use the given ratio of orange juice to pineapple juice.
The ratio of orange juice to pineapple juice is 4 to 3, which means for every 4 parts of orange juice, we need 3 parts of pineapple juice.
First, we need to determine the equivalent ratio of orange juice to pineapple juice for 64 oz of orange juice. We can set up a proportion:
Orange juice (oz) / Pineapple juice (oz) = 4 / 3
We know that Bill has 64 oz of orange juice, so we can substitute it into the proportion:
64 / Pineapple juice (oz) = 4 / 3
Now, we need to solve for the unknown value, which is the amount of pineapple juice Bill needs.
To isolate the variable, we can cross-multiply:
3 * 64 = 4 * Pineapple juice (oz)
192 = 4 * Pineapple juice (oz)
To solve for Pineapple juice (oz), we divide both sides by 4:
192 / 4 = Pineapple juice (oz)
Pineapple juice (oz) = 48
Therefore, Bill needs 48 oz of pineapple juice for the Tropical Treat punch.