Question

Rogrigo practiced the guitar 14 1/3 hours over the past 3 weeks. He practiced for 5 1/4 hours during the first week and 3 2/3 hours during the second week. How much time did Rodrigo spend practicing during the third week?

Answer 1

Total hours spent on practicing the guitar for 3 weeks = 14 1/3 hours

Hours spent in the first week = 5 1/4 hours

Hours spent in the second week = 3 2/3 hours

Let the number of hours spent during the third week be = y

5 1/4 + 3 2/3 + y = 14 1/3

$\begin{gathered} 5\frac{1}{4}\text{ + 3}\frac{2}{3}\text{ + y = 14}\frac{1}{3} \\ \\ \frac{21}{4}+\text{ }\frac{11}{3}\text{ + y =}\frac{43}{3} \\ \\ \frac{63\text{ + 44}}{12}+\text{ y =}\frac{43}{3} \\ \\ \frac{107}{12}\text{ + y =}\frac{43}{3} \\ \\ y\text{ = }\frac{43}{3}\text{ -}\frac{107}{12} \\ \\ y\text{ = }\frac{172\text{ -107}}{12} \\ \\ y\text{ =}\frac{65}{12} \\ \\ y\text{ =5}\frac{5}{12} \end{gathered}$