Question

Calculator There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The average of 35 minutes each day. What was the average reading time for the entire book club each day? Enter your answer in the box. 125 min FA

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for finding the average

`\text{ }Average=\mleft\{SumofObservations\mright\}/\mleft\{TotalnumberofObservations\mright\}.`

STEP 2: Get the total reading time for the first 10 people

`\begin{gathered} \text{Ten people read for an average of 65 minutes each day} \\ Let\text{ the sum of the people's reading time be represented by x} \\ \text{This implies that;} \\ 65=(x)/(10)\text{ since there are 10 people} \\ By\text{ cross multiplication,} \\ x=10*65=650\text{ minutes} \\ \text{Ten people read for a total of 650 minutes} \end{gathered}`

STEP 2: Get the total reading time for the remaining 5 people

`\begin{gathered} \text{Five remaining people read for an average of 35 minutes each day} \\ Let\text{ the sum of the people's reading time be represented by m} \\ \text{This implies that;} \\ 35=(m)/(5)\text{ since there are 5 people} \\ By\text{ cross multiplication,} \\ m=5*35=175\text{ minutes} \\ \text{Five people read for a total of 175 minutes} \end{gathered}`

STEP 3: Calculate the average reading time for the entire book club each day

`\begin{gathered} T\text{he average reading time for the 15 people using the formula in step 1 will be;} \\ \frac{Total\text{ number of reading minutes}}{15} \\ Total\text{ number of reading minutes}=x+m \\ x=650,m=175 \\ \text{average}=(650+175)/(15)=(825)/(15)=55\min ute\text{s per day} \end{gathered}`

Hence, the average reading time for the entire book club each day is 55 minutes per day