Question

The recipe for the cupcakes John is making needs 3/4-cup of flour for one batch of cupcakes. Unfortunately, John only has 2/3-cup of flour on hand. How many batches of cupcakes would John be able to make for the party?

a) 8/9 batches
b) 2/3 batches
c) 1 batch
d) 9/8 batches

Answer 1

John can make 8/9 of a batch of cupcakes with the 2/3-cup of flour he has, since 2/3 divided by 3/4 equals 8/9.

Step-by-step explanation:

The question is asking how many batches of cupcakes John can make with the amount of flour he has. John has 2/3-cup of flour but the recipe calls for 3/4-cup of flour for one batch. To determine the number of batches John can make, we need to calculate the fraction of the batch he can produce with the flour he has.

To do this, we will divide the amount of flour John has by the amount required for one batch, which is 2/3 divided by 3/4. This is the same as 2/3 multiplied by 4/3 (which is the reciprocal of 3/4), and it equals 8/9. Therefore, John can make 8/9 batches of cupcakes with the flour he has on hand.