Last year, Megan put off completing 6 of 10 assignments during Procrastination Week. She wants to have the same ratio of not completed to completed assignments this year. If the teacher gives her 15 assignments this year, how many should she complete to keep the ratio the same?
Because 6/10 = x/15 all we need to do is cross-multiply. Doing so yields 10x = 90. Dividing both sides by 10 gives x = <<9=9>>9. Answer: \boxed{9}.
To find out how many assignments Megan should complete this year to maintain the same ratio as last year, we can set up a proportion.
The proportion can be set up as follows:
"Not completed assignments last year" : "Completed assignments last year" = "Not completed assignments this year" : "Completed assignments this year"
Let's plug in the given values:
6 : 10 = x : 15
To solve for x, we can use the cross-multiplication method:
6 * 15 = 10 * x
90 = 10x
Now, divide both sides of the equation by 10:
90/10 = x
9 = x
Therefore, Megan should complete 9 assignments to maintain the same ratio as last year.