Answer:
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Step-by-step explanation:
P.S - the exact question is -
As given
Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours
He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours
Wednesday - [tex]1\frac{1}{4}[/tex] hours
Thursday - 1 hour
Let the remaining practice = x hours
⇒ Total practice = [tex]4\frac{1}{2}[/tex] hours
⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]
⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]
⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]
⇒x - 1 = [tex]-\frac{1}{4}[/tex]
⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]
⇒x = [tex]\frac{3}{4}[/tex] hour
∴ we get
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
