ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

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…

Language:
English Language

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?

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 2.3 Pre-Algebra
2851 Views

ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?

ACT Math 2.4 Pre-Algebra
461 Views

ACT Math: Pre-Algebra Drill 2, Problem 4. Which of the following numbers is largest?

SAT Math 1.2 Algebra and Functions
359 Views

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?

Compound Interest
45304 Views

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 5.2 Pre-Algebra
1939 Views

ACT Math: Pre-Algebra Drill 5, Problem 2. If a and b are prime numbers, how many factors does ab have?