AnswersDAEP - Math 7 A 20 DAY TERMFinding an Original Amount

Finding an Original Amount Answers

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1
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What errors did Tara make in her diagram? Check all that apply.

A
There should be 5 rows labeled 20%.
B
The 25 should be for each percent, not dollar amounts.
C
The percents do not add up to a whole of 100%.
D
There should be 4 columns of 25% that each equal $20.
3

What key phrases did you include in your response?

A
4 columns, because 25% is of 100%
Option A
B
1 column for total amount
C
2 rows for percents and dollar amounts
4

Which situation(s) could be solved using this equation? Check all that apply.

A
A commission of $48 was earned on the sale of a camera. If a 30% commission rate is given, what was the price of the camera sold?
B
A camera was on sale for 30% off, and the discount was $48. What was the original price of the camera?
C
A camera that cost $48 was on sale for 30% off. What was the price of the camera?
D
The markup on a camera was $48 at a rate of 30%. What was the wholesale price of the camera?
5

$87.50$56.25$31.50$11.25

A
$87.50
B
$56.25
C
$31.50
D
$11.25
6

The amount of tax for each camera is $5.25 and the tax rate is 6%. Explain how the equation: (Original Cost)(Percent) = Tax Amountis adjusted to solve for the original cost.

Answer:

Divide both sides of the equation by 0.06 (the decimal form of 6%) to isolate the original cost. The original cost is $5.25 ÷ 0.06 = $87.50.

7

What was included in your response?

A
Original Cost = 5.25/0.06
B
The tax amount is divided by the percent.
C
Dividing by the percent is the inverse operation of multiplying by the percent.
8

$45$50$55$60

A
$45
B
$50
C
$55
D
$60
10

Explain the error(s) in the student’s work.

Answer:

The student should have written 15% as the decimal 0.15 and divided the $7.50 markdown by 0.15 to find the original price.

11

What was included in your response?

A
The tax rate should be written as the decimal 0.15 in the equation.
B
The original price and the 7.5 are reversed in the equation.
C
The equation should be (Original Price)(0.15) = 7.5.
D
Divide the 7.5 by 0.15

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