Question

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer 1

0.75 hours more is needed to practice to meet his goal

Solution:

Given that,

Goal per week of Joel = $4\frac{1}{2} = \frac{2 \times 4 + 1}{2} = \frac{9}{2}$

From given,

The list below shows the number of hours Joel has a practiced so far for the week

$Monday = 1\frac{1}{2}\ hours = \frac{3}{2}\ hours$

$Wednesday = 1\frac{1}{4}\ hours = \frac{5}{4}\ hours\\\\Thursday = 1\ hour$

How many more hours does he need to practice this week to meet his goal

Find the difference

Hours needed = Goal per week of Joel - (monday + wednesday + thursday)

$Hours\ needed = \frac{9}{2} - (\frac{3}{2} + \frac{5}{4} + 1)\\\\Hours\ needed = 4.5-(1.5+1.25+1)\\\\Hours\ needed = 4.5 - 3.75 = 0.75\\\\Hours\ needed = 0.75 = \frac{3}{4}$

Thus 0.75 hours more is needed to practice to meet his goal