Question

Dustin completed 3/8 of a homework assignment that has 24 problems. Kelsey completed 4/15 of a homework assignment that has 30 problems. Who completed more problems?

Answer 1

See a solution process below:

Explanation:

We can rewrite the first part of this problem as:

What is `3/8 " of " 24` and what is `4/15 " of " 30?`

In this context the word "of"* means to multiply.

Therefore:

`3/8 xx 24 = 3/color(red)(cancel(color(black)(8))) xx color(red)(cancel(color(black)(24)))3 = 3 xx 3 = 9`

And

`4/15 xx 30 = 4/color(red)(cancel(color(black)(15))) xx color(red)(cancel(color(black)(30)))2 = 8`

Dustin completed 9 problems and Kelsey completed 8 problems so Dustin completed more problems.