Question

Nicolai, Julie and Glene will paint a wall. They spend a total of 25 hours at work. Julie paints for 6 hours and Glene paints for 8 hours. What percentage of the total time each of them paints? Nicolai painted % of the time, Julie painted % of the time, and Glene painted % of the time.

Answer 1

Let J be the amount of time Julie paints

G for Glene

and

N for Nicolai

They paint a total of 25 hours.

So we can expressed this total hours by :

`J+G+N=25`

Since Julie paints for 6 hours, J = 6

Glene for 8 hours, G = 8

Nicolai will be :

`\begin{gathered} 6+8+N=25 \\ N=25-6-8 \\ N=11 \end{gathered}`

To get the percentage of each person, divide their time to the total hours of work multiplied by 100 :

`\%=\frac{\text{time}}{\text{total time}}*100`

Answers :

For Nicolai :

`\%=(11)/(25)*100=44\%`

For Julie :

`\%=(6)/(25)*100=24\%`

For Glene :

`\%=(8)/(25)*100=32\%`

To check if the answers are correct, the sum of the percentages MUST BE equal to 100.

Checking :

`44\%+24\%+32\%=100\%`

Therefore, the answers are correct.