Question

1. if 170%of a number is 680, what is 50%of the number?

a 180
b 200
c 340
d 400

1. a video game is regularly sold at $65.95 before taxes. the video game is sold 15%below regular price when it goes on sale. before taxes, what is the video games sale price? round your answer to the nearest cent.

a $59.24
b $56.06
c $50.95
d $9.89

1. the price of guitars from universal guitar company increased by 80%when the business expanded. if a guitar cost $40before the expansion, how much should it cost after the expansion?

a $32.00
b $43.20
c $72.00
d $112.00

Explanation:

Problem 1

Step1: Define the unknown number

Let the number be $x$.

Step2: Set up percentage equation

$1.7x = 680$

Step3: Solve for the number

$x = \frac{680}{1.7} = 400$

Step4: Calculate 50% of the number

$0.5 \times 400 = 200$

Problem 2

Step1: Find sale price percentage

Sale price = $100\% - 15\% = 85\%$ of regular price

Step2: Calculate sale price

$\$65.95 \times 0.85 = 56.0575$

Step3: Round to nearest cent

$\$56.06$

Problem 3

Step1: Find new price percentage

New price = $100\% + 80\% = 180\%$ of original price

Step2: Calculate new price

$\$40 \times 1.8 = 72$

Answer:

1. B 200
2. B $56.06
3. C $72.00