Math  /  Numbers & Operations

QuestionAn exercise machine with an original price of $820\$ 820 is on sale at 14%14 \% off. a. What is the discount amount? b. What is the exercise machine's sale price? a. discount amount = \ \square$

Studdy Solution

STEP 1

What is this asking? We need to figure out how much money we save (the discount) and the final price of an exercise machine that's on sale. Watch out! Don't forget that the final price is the original price *minus* the discount!

STEP 2

1. Calculate the discount amount.
2. Calculate the sale price.

STEP 3

Alright, so the original price is $820\$820 and it's on sale for **14%** off.
This means we save 14% of the original price!
To find the discount, we **multiply** the original price by the **percentage discount**.
Remember, 14% is the same as 14100\frac{14}{100}, or 0.140.14.

STEP 4

Let's **calculate** that discount! $8200.14=$114.80 \$820 \cdot 0.14 = \$114.80 So, the discount amount is **\$114.80**!
Woohoo!

STEP 5

Now that we know how much we're saving, we can find the sale price.
We do this by **subtracting** the discount from the original price.
It's like this: Original Price - Discount = Sale Price.
Makes sense, right?

STEP 6

Let's **plug in** our numbers: $820$114.80=$705.20 \$820 - \$114.80 = \$705.20 The sale price of the exercise machine is **\$705.20**.
Awesome!

STEP 7

a. The discount amount is $114.80\$114.80. b. The exercise machine's sale price is $705.20\$705.20.

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