# Tutor profile: Trevor S.

## Questions

### Subject: Pre-Algebra

Nikola has decided it's time to replace the carpet in the hobby room, the kitchen, and the dining room with tile. Unfortunately none of those rooms are the same size. The hobby room is 10 feet wide and 10 feet long, the kitchen is 10 feet wide and 20 feet long, and the dining room is 20 feet wide and 40 feet long. If one tile is 1 ft$$ ^{2} $$ how many tiles does Nikola need?

Wow. Nikola has a weird way of measuring their home. Let's break it down into more reasonable chunks by simply listing what we're told The hobby room is 10ft X 10ft The kitchen is 10ft X 20ft The dining room is 20ft X 40ft So, to calculate how many tiles Nikola needs, we're really calculating the area of each room, and adding them together. Which would look a bit like this. (10ft * 10ft) + (10ft * 20ft) + (20ft * 40ft) = total area 100 ft$$ ^{2} $$ + 200 ft$$ ^{2} $$ + 800 ft$$ ^{2} $$ = 1,100 ft$$ ^{2} $$ So if each tile is 1 ft$$ ^{2} $$, we would need 1,100 ft$$ ^{2} $$ / 1 ft$$ ^{2} $$, leaving us with 1,100 tiles! If you'd like a challenge after that, I've got a meatier problem for ya! If Nikola's house has 10 ft ceilings, how much paint would they need to repaint each room's walls? Considerations: - How many walls do you need to account for? - How is calculating the area of the walls for each room different than calculating the area of the floor? - How different do you think those areas will be?

### Subject: Basic Math

Let's say when Dante wakes up in the morning, there are a bunch of chores that they need to do. They need to feed the dogs which takes 30 minutes, water the plants which takes 20 minutes, make and eat breakfast which takes 30 minutes, brush their teeth which takes 10 minutes, and wash the dishes which takes 30 minutes. How many minutes does Dante's morning routine take? How many hours does Dante's morning routine take? If they wake up at 8, what time does their morning routine end?

Oof. That's a lot of stuff in that description! It's super hard to understand what's going on there by just reading it! Don't worry though, if we can reorganize the question it may start to make more sense. Let's just make a list of each individual task. - feeding the dogs: 30 minutes - watering the plants: 20 minutes - making and eating breakfast: 30 minutes - brushing my teeth: 10 minutes - doing the dishes: 30 minutes Looks a bit simpler, right? Time for math! Yay! Just add up the minutes and we're golden! 30 minutes + 20 minutes + 30 minutes + 10 minutes + 30 minutes ------------------- 120 minutes - Dante's routine takes 120 minutes. Woo! Part 1 DONE! Time for part 2. We know that there are 60 minutes in an hour, and the routine takes 120 minutes. How would you go about changing that 120 minutes into hours? Division! Another reorganization and all we have to do is solve: $$ \frac{120}{60} $$ = 2 hours - Dante's routine takes 2 hours. Now if Dante wakes up at 8:00, and their routine takes 2 hours: 8:00 am + 2:00 --------- 10:00 am - Dante's routine ends at 10:00 Yeah! Nailed it!

### Subject: Algebra

*I'm imagining I've spoken with them and have found out they like computers* Let's say you're saving up for the newest computer component that's coming out in 8 days. You've got $60 in savings already but the part is $150! Luckily, you're able to earn $10 a day for watering your neighbor's plants. Are you able to save enough money to buy the part on the day it's released?

That may seem a bit overwhelming but we can use some tricks to simplify it a bit. Let's start by breaking the question down to simple chunks. - You're trying to save up $150. - You have $60 in savings. - You earn $10 on each day. - Finally, we'll use $$ x $$ to represent the number of days. Hopefully that's easier to understand! Want to have a try turning this into an equation? You want to save $150 using your savings of $60 plus your earnings of $10 each day. $150 = $60 + $10 * $$ x $$ days Time for the meat of it! First, we should simplify the equation further. Because you already have savings, we can take it away from the cost of the part by simply subtracting it out! The price minus your savings is $150 - $60, leaves you with $90 to earn. But, on the other side of the equation it still shows you with your savings, so we need to subtract that out too. ($150 - $60) = ($60 - $60) + $10 * $$ x $$ days Which is the same as $90 = $10 * $$ x $$ days That is an example of an important rule about equations, inequalities, and much more. You can do anything you would like to one side of the equation, but you must do the same on the other side. From here, we need to figure out how many days it will take to save enough money (we're almost there!). We only want the number of days it takes, so we can pull out the money part of it by just dividing it out. $$ \frac{$90}{$10} $$ = $$ \frac{$10 * x days}{$10} $$ Which leaves us with... 9 = $$ x $$ days So to answer the question, we subtract the number of days you need to save from the number of days until release. 9 days to save and 8 days until release... 8 - 9 = -1 Missed by 1 day! Oh well, day 2 isn't bad, right?