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Remainders 377 Views


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Description:

Leftovers are good. Remainders are not.

Language:
English Language

Transcript

00:00

Remainders, a la Shmoop. Paul Deen, Paula's little brother...

00:11

...is trying to follow in big sis' footsteps. However, every time he tries baking chocolate

00:18

tortes for his dinner guests... ...he ends up with left over dessert after

00:22

divvying the rest out evenly. He made the same number of tortes for each

00:27

of his first three dinner parties... ...and they were eaten by 4, 6 and 8 people

00:32

respectively. Each time, exactly 2 tortes went uneaten.

00:37

Which of the following expressions gives us a number that is evenly divisible by 4, 6

00:41

and 8? Here are the choices:

00:48

To Paul's abject horror, Paula steps in to save the day.

00:52

His sister got all the math smarts in the family, too. Don't you just hate that?

01:00

Paula starts by finding the least common multiple of 4, 6 and 8... which is 24.

01:12

Then she adds the remainder of 2 to get an x value of 26.

01:17

Next, she plugs her x value into each of the expressions until she finds another common

01:21

multiple of 4, 6 and 8.

01:25

"A" doesn't work because 34 isn't divisible by any of our three numbers

01:32

"B" -- Same story... 38 isn't divisible by any of the three.

01:44

"C" doesn't fit the bill either...42's only factor here is 6...

01:55

"D"...Nope - 46 hasn't a single factor either... Answer "E," however, works just perfectly.

02:16

26 plus 22 equals 48... ...and 48 is definitely a common multiple

02:21

of 4, 6 and 8. The Deen family is all about going "big"...

02:31

...so Paul decides to bake 48 tortes for his next dinner party.

02:36

That amount will be perfect for 4, 6 or 8 people...

02:39

...or if Paula opts to gorge herself on them all alone.

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