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

Respuesta :

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

[tex]\frac{7}{3} + \frac{3}{2} + x = 20[/tex]

= [tex]\frac{14+9+6x}{6}= 20}[/tex]

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.