Question

Michelle, Jennifer, and Betty volunteered to make cupcakes for a school fundraiser. They've been asked to make 100 cupcakes. Michelle can make 6 cupcakes in an hour. Jennifer can make 18 cupcakes in two hours. Betty can make 24 cupcakes in two hours. How long will it take to make 100 cupcakes if they work together?

A. 3 19/27 Houurs
B. 2 2/9 Hours
C. 4 1/6 Hours
D. 1 23/27 Hours

Answer 1

Michelle, Jennifer, and Betty have a combined rate of 27 cupcakes per hour. To make 100 cupcakes, it will take them 100 divided by 27, which equals 3 19/27 hours. The correct answer is A. 3 19/27 hours.

Step-by-step explanation:

To determine how long it will take Michelle, Jennifer, and Betty to make 100 cupcakes together, we first need to find their individual rates of production.

Michelle makes 6 cupcakes per hour.

Jennifer makes 18 cupcakes in 2 hours, which is equivalent to 9 cupcakes per hour.

Betty makes 24 cupcakes in 2 hours, which is equivalent to 12 cupcakes per hour.

Adding these rates together gives us a combined rate of:

6 + 9 + 12 = 27 cupcakes per hour.

To find the time it takes to make 100 cupcakes, we divide the total number of cupcakes by the combined rate:

100 cupcakes ÷ 27 cupcakes/hour = 3 19/27 hours.

Therefore, the correct answer is A. 3 19/27 hours.

Answer 2

B. 2 2/9 hours.

in 2 hours the will already have made 96 cupcakes so the only logical answer is B