A recipe for a special sauce calls for 4/5 of a cup of ginger and 1 1/4 cups of pineapple juice. How many cups of ginger would you need if 3 cups of pineapple juice are poured into the mixture?
Math PLEASE HELP IT'S URGENT!!!!!
(3/(5/4)) (4/5) = 12/5 * 4/5 = 48/25 which is about 2
2
To solve this problem, we need to determine the ratio of ginger to pineapple juice in the original recipe and then use that ratio to calculate the amount of ginger needed for 3 cups of pineapple juice.
The original recipe calls for 4/5 cup of ginger and 1 1/4 cups of pineapple juice. Let's simplify these fractions to make them easier to work with:
- 4/5 cup of ginger can be simplified to 4/5 x 5/5 = 4/25 cup
- 1 1/4 cups of pineapple juice can be simplified to 5/4 cups
Now, we need to find the ratio of ginger to pineapple juice using these simplified values. The ratio is determined by dividing the amount of ginger by the amount of pineapple juice:
- Ginger to pineapple juice ratio: (4/25 cup of ginger) / (5/4 cup of pineapple juice) = (4/25) / (5/4)
This can be simplified further by multiplying the numerator by the reciprocal of the denominator:
= (4/25) * (4/5)
= (16/125) cup of ginger per cup of pineapple juice
Now that we have the ginger to pineapple juice ratio, we can calculate the amount of ginger needed for 3 cups of pineapple juice by multiplying the ratio by 3:
- Ginger needed for 3 cups of pineapple juice: (16/125 cup of ginger per cup of pineapple juice) * 3 cups of pineapple juice
= (16/125) * 3
= 48/125 cups of ginger
Therefore, if 3 cups of pineapple juice are poured into the mixture, you would need 48/125 cups of ginger.