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ACT Mathematics Videos 164 videos

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ACT Math 5.4 Pre-Algebra 412 Views


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Description:

ACT Math: Pre-Algebra Drill 5, Problem 4. What was the percent discount of the sweater?

Language:
English Language

Transcript

00:03

Put this in your calculator and shmoop it...

00:07

Jack paid a total of $35.00 plus tax for a

00:09

sweater that was originally $54.00, plus tax. It sounds like a steal, but you should see

00:14

the sweater. Jack's total included an 8% sales tax. What

00:18

was the percent discount of the sweater?

00:21

And here are the potential answers...

00:27

New minus old over old. New minus old over old. New minus old over old...

00:32

That's your mantra when encountering problems like this one baby. Don't forget it. Ever.

00:38

Let's plug in the 54 plus tax as the old... and 35 plus tax as the new.

00:49

First, we have to clean up the tax stuff. If only our government would follow our lead...

00:54

For the 54 we have to get the tax dollar amount, so we multiply by 1.08 to get $58.32.

01:01

Now do the same for the 35, multiply 35 by 1.08 and we get $37.80.

01:08

So we paid $37.80 minus $58.32 over $58.32... and it looks like we've got ourselves an equation.

01:17

When we do the math, we get -$20.52 over $58.32.

01:22

The negative sign means that there is a decrease in price...

01:25

...which gives us a discount of .35... or 35%.

01:30

Answer A.

01:30

As in, "Adorable."

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