Gotcha.
We know Sean spent 15 more minutes than Faith.
So, we know this to be true:
Sean = 15 + Faith
We also know that Sean and Faith spent a TOTAL time of 55 minutes on homework.
So, we have this:
Sean + Faith = 55
We can solve for Faith's time spent in homework now since we have two equations.
Here are the two equations we have:
Sean = 15 + Faith
Sean + Faith = 55
To make solving for Faith easier, I'm going to rearrange the second equation to this:
55 = Sean + Faith
Now, we solve the problem.
Sean = 15 + Faith
55 = Sean + Faith
We know what Sean is, he is 15 + Faith.
So, we can plug in 15 + Faith into Sean in the second equation.
55 = 15 + Faith + Faith
Simplify:
55 = 15 + 2Faith
55 - 15 = 15 - 15 + 2Faith
(I subtracted 15 from both sides)
40 = 2Faith
Now, divide by 2 on both sides to get Faith's time.
40 ÷ 2 = 2Faith ÷ 2
20 = Faith
If you have any questions or comments then please post them. Otherwise, good luck, and I hope this was useful!