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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…
Numbers and Operations: Elementary Number Theory 606 Views
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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.
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