ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Basic Algebra Videos 43 videos
GED Math: Expression and Equations Drill 1, Problem 1. How much do the apples cost after tax?
In this GED Math Equation, figure out how far Dmitri has travelled in his sleigh ride down the hill.
Pick the expression that best represents the cost in dollars of riding m miles in a taxi.
Numbers and Operations: Elementary Number Theory 606 Views
Share It!
Description:
Jack and Jill went up the hill to fetch a pail of water. But what happened when they got up there? They’ve been gone an awfully long time…
Transcript
- 00:10
Jill needs to fill a 4-gallon pail with water from a well.
- 00:14
She only has a jar that holds 1.5 cups. How many trips will she need to make to the
- 00:18
well? A – 11?
- 00:19
B – 21? C – 22?
- 00:20
D – 42? or E – 43?
Full Transcript
- 00:23
Seems like forever since Jack and Jill’s unfortunate hill episode…
- 00:27
…but their bruises have finally healed, and Jill is ready to get back on the wagon.
- 00:31
Of course, we all know they didn’t really climb that hill to “fetch a pail of water.”
- 00:35
But Jill is looking to make a fresh, clean start.
- 00:37
This time, she has sworn to actually come back down the hill with water…
- 00:41
…and not just a dozen hickeys on her left shoulder.
- 00:45
So… how many harrowing trips is our lovely heroine going to need to make to the top of
- 00:50
the hill? Let’s start with the easy stuff. We know
- 00:54
there are 4 cups in a quart and 4 quarts in a gallon…
- 00:57
…so there are 16 cups in a gallon. And since the pail she needs to fill holds
- 01:03
4 gallons, we first multiply each of the four gallons by 16 cups to get the number of cups
- 01:08
needed to fill the pail. Since each trip will fill up 1 and a half
- 01:16
cups… … we can just divide 64 by 1.5 to get 42.7.
- 01:35
However, Jill can’t make a partial trip, of course.
- 01:40
Not one that results in getting a hold of water, anyway.
- 01:42
So we round up to 43. Speak of the devil - here she comes now, just
- 01:46
wrapping up trip number 43, and… … oh my.
- 01:49
It appears Jill has once again fallen victim to Jack’s irresistible charm.
- 01:54
We wouldn’t drink any of that water, if we were you.
Related Videos
ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?
ACT Math: Pre-Algebra Drill 2, Problem 4. Which of the following numbers is largest?
SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?
Who wants to be a millionaire? In this video, learn about compound interest, interest rates, and the compound interest formula. You'll be buying th...
ACT Math: Pre-Algebra Drill 5, Problem 2. If a and b are prime numbers, how many factors does ab have?