Question

Rodrigo practiced playing the gutair 16 1/3 hours over the past 3 week. He practiced fot 5 1/4 hours during the first 5 2/3how much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem then solve the equation. symbols may be used more then once or not at all 16 1/3 5 1/4 5 2/3 x = +the equation the problem isA. 16 1/3 = 5 2/3 + xB. x = 16 1/3 +5 1/4 +5 2/3C. x + 16 1/3 = 5 1/4 + 5 2/3D. 16 1/3 = x - 5 1/4 - 5 2/3During the third week, Rodrigo spent ?/? hours practicing

Answer 1

`16(1)/(3)=5(1)/(4)+5(2)/(3)+x`

Explanation:

We have that there is a total time and a time for each week, the time for each week is equal to the total time, therefore the equation is the following

`16(1)/(3)=5(1)/(4)+5(2)/(3)+x`

Therefore the correct equation is option A.

Now to calculate the value of x we must solve for x like this:

`\begin{gathered} x=16(1)/(3)-5(1)/(4)-5(2)/(3) \\ x=5(5)/(12) \end{gathered}`

Therefore the time of week 3 is 5 5/12 hours