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