Question

A cake is cut into 12 equal slices. After 3 days Jake has eaten 5 slices. What is his weekly rate of eating the cake?

Answer 1

`\text{rate}_(wekly)=(35)/(3)\text{slices per w}eek`

Step-by-step explanation

to find the weekly rate of eating we need to use

`\text{rate}_(wekly)=\frac{eaten\text{ slices}}{\\u\text{mber of we}eks}`

hence, we need to convert 3 days into weeks, ( let x represents the number of weeks in 3 days),so

1 week= 7 days

x weeks= 3 days

the proportion is

`\begin{gathered} \frac{1\text{ w}eek}{7\text{ days}}=\frac{x\text{ w}eeks}{3\text{ days}} \\ (1)/(7)=(x)/(3) \\ \text{Multiply both sides by 3} \\ (1)/(7)\cdot3=(x)/(3)\cdot3 \\ (3)/(7)=x \end{gathered}`

therefore

`3\text{ days=3/7 of w}eek`

Now, replace .

`\begin{gathered} \text{rate}_(wekly)=\frac{eaten\text{ slices}}{\\u\text{mber of we}eks} \\ \text{rate}_(wekly)=\frac{5\text{ slices}}{(3)/(7)\text{ we}ek} \\ \text{rate}_(wekly)=\frac{35\text{ slices}}{3\text{ w}eks} \\ \text{rate}_(wekly)=(35)/(3)\text{slices per w}eek \end{gathered}`

I hope this helps you