Francine uses 32 cup of pineapple juice for every 31 cup of orange juice to make a smoothie.Enter the number of cups of pineapple juice Francine uses for 1 cup of orange juice.□ cups of pineapple juice
Q. Francine uses 32 cup of pineapple juice for every 31 cup of orange juice to make a smoothie.Enter the number of cups of pineapple juice Francine uses for 1 cup of orange juice.□ cups of pineapple juice
Set up ratio: To find out how many cups of pineapple juice Francine uses for 1 cup of orange juice, we need to set up a ratio based on the given information. We know that Francine uses 32 cup of pineapple juice for every 31 cup of orange juice.
Set up proportion: To find the equivalent amount of pineapple juice for 1 cup of orange juice, we can set up a proportion. If (32) cup of pineapple juice corresponds to (31) cup of orange juice, then we want to find the amount of pineapple juice that corresponds to 1 cup of orange juice. We can write this as:31 cup orange juice32 cup pineapple juice=1 cup orange juicex cup pineapple juice
Cross-multiply and divide: To solve for x, we can cross-multiply and divide. This gives us:x=32×311 cup orange juice
Simplify equation: Simplifying the right side of the equation, we multiply (32) by 1 and divide by (31). Dividing by a fraction is the same as multiplying by its reciprocal, so we get:x=(32)×(13)
Final calculation: Multiplying (32) by (13) gives us:x=32×3Simplifying the multiplication and division, we get:x=2×(33)x=2×1x=2Therefore, Francine uses 2 cups of pineapple juice for 1 cup of orange juice.