5. adrian decorated 16 cupcakes in 28 minutes. if he continues at this pace, how many minutes will it take…

5. adrian decorated 16 cupcakes in 28 minutes. if he continues at this pace, how many minutes will it take him to decorate 56 cupcakes?

5. adrian decorated 16 cupcakes in 28 minutes. if he continues at this pace, how many minutes will it take him to decorate 56 cupcakes?

Answer

Explanation:

Step1: Find the rate of decorating

The rate is calculated by dividing the time by the number of cupcakes. So the rate $r=\frac{28}{16}=\frac{7}{4}$ minutes per cupcake.

Step2: Calculate the time for 56 cupcakes

Multiply the rate by the number of cupcakes. Time $t = r\times56$. Substitute $r = \frac{7}{4}$ into the formula: $t=\frac{7}{4}\times56$. $t = 7\times14=98$ minutes.

Answer:

98 minutes