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(1)/(2) = (2 * 4 + 1)/(2) = (9)/(2)`

From given,

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

`Monday = 1(1)/(2)\ hours = (3)/(2)\ hours`

`Wednesday = 1(1)/(4)\ hours = (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 = (9)/(2) - ((3)/(2) + (5)/(4) + 1)\\\\Hours\ needed = 4.5-(1.5+1.25+1)\\\\Hours\ needed = 4.5 - 3.75 = 0.75\\\\Hours\ needed = 0.75 = (3)/(4)`

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