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ACT Mathematics Videos 164 videos
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
ACT Math: Pre-Algebra Drill 1.2. What proportion of Jenna's day is spent Wii-swimming?
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?
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?
Full Transcript
- 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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