Question

WORTH 30 Points ! :))

1. The original price of a new pair of ugg boots is $280. There is a sale going on for 40% off last years colors. Write two different expressions you can use to find the new price.

2. Show that they are equivalent by finding the new price of each expression.

Answer 1

1. a.) 280 - (\frac{40}{100}[/tex] ×
`(x)/(280)`)

b.) 280 × .60

2. a.) 168=168

Explanation:

a.) cross multiply, then you will get 112, then subtract 112 from 280 to get 168.

b.) multiply to get 168

Answer 2

$280 - $112.00 = $168.00 and 0.600 x $280 = $168.00.

Explanation:

First, convert the 40% to a real mathematical number. For percents, this is always done by dividing the 40% by 100%, or 40% / 100% = 0.400.

Second, find out what 40% of $280 is. This is the amount of the sale discount. This is always found by mulitplying 0.400 by the item's cost $280, like this:

0.400 x $280 = $112.00.

So for this sale, you'll save $112.00 on this item.

This means, the cost of the item to you is

$280 - $112.00 = $168.00.

Or you can think about it this way. The item is 40% off. This means you'll pay 60.000% of the total cost (100% - 40% = 60.000%).

Now what's 60.000% of the total cost?

0.600 x $280 = $168.00.