Question

Kiara tutors 20 hours each month at the library. She tutored for 2 1/3 hours the first week and 1.5 hours the second week. How many more hours does she need to tutor this month? What type of problem is this, and why?

a part-whole problem, because the time she still needs to tutor is unknown.

a part-whole problem, because the time tutored this week is part of the time tutored last week

a comparison problem, because the number of hours tutored last week is compared to the number tutored this week

a comparison problem, because the number of hours tutored already is compared to the total number of hours she will tutor

Answer 1

This question belongs to simple algebric equation, where we need to add or subtract fractions by finding a common denominator.

Given total hours = 120

Number of hours tutored for 1st week =2 1/3 hours = 7/3 hours

Number of hours in the 2nd week = 3/2 = 1.5 hours

Let the number of more hours she needs to teach be x

`(7)/(3) + (3)/(2) + x = 20`

=
`(14+9+6x)/(6)= 20}`

23 + 6x = 120

6x = 97

x = 16.167

Hence Kiara needs 16.167 more hours.

And this belongs to a part-whole problem, because the time she still needs to tutor is unknown.