Question

A bakery can produce 240 cupckaes in 2 hours.How many hours will it take to make 88 cucakes?

Answer 1

It would take roughly 0.733 hours or 44 minutes to make 88 cupcakes given the bakery's production rate of 240 cupcakes in 2 hours.

Step-by-step explanation:

The student is asking about a proportional relationship between time and the number of cupcakes produced. Since the bakery can produce 240 cupcakes in 2 hours, we need to determine how long it would take them to produce 88 cupcakes. We do this by setting up a proportion. Starting with the ratio of cupcakes to hours (240 cupcakes:2 hours), we find the number of hours needed for 88 cupcakes by cross-multiplying and solving the resulting equation:

1. Write down the known ratio: 240 cupcakes / 2 hours.
2. Set up the proportion with the unknown value: 240/2 = 88/x, where x represents the unknown number of hours.
3. Cross-multiply and solve for x: (240) * (x) = (88) * (2).
4. Divide both sides by 240: x = (88 * 2) / 240.
5. Complete the calculation: x = 176 / 240.
6. Simplify the fraction: x = 0.733 hours (or approximately 44 minutes).

It would take approximately 0.733 hours or 44 minutes to produce 88 cupcakes, assuming the production rate remains constant.