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### Pre-algebra

Quiz 7B -Applications of Percent

- Translate the following sentence into an equation: 18 is 44% of what number?

18 = .44n

- Translate the following sentence into an equation: 104 is 36% of what number?

104 = .36n

62 - 44 36% of what number? = x

44 100

18 = x

44 100

1800 = 44 x

X = 40.9% increase

- A price change from $44 to $62.

56 - 42 36% of what number? = x

56 100

14 = x

56 100

1400 = 56 x

X = 25% decrease

- A price change from $56 to $42.

165 - 122 36% of what number? = x

165 100

43 = x

165 100

4300 = 165 x

X = 26.1% decrease

- Weight change from 165 lbs to 122 lbs.

132 - 112 36% of what number? = x

112 100

20 = x

112 100

2000 = 112 x

X = 17.9% increase

- Weight change from 112 lbs to 132 lbs.

- A car salesman was able to sell a car for $14,500. He earned 6% commission on the sale. How much was his commission?

X= 14,500(.06)

X = $870

- A relator was able to sell a house for $167,500. He earned 5% commission on the sale. How much was his commission?

X = 167500(.05)

X= $8,375

- Janet earns 8.5% commission on her clothing sales. If she wants to earn $100 commission, how much must she sell?

100 = .085x

X = $1,176.47

- Jack worked his first week at Hershey Park. He earned a total of $162.50. He was disappointed to see that $20.20 was withheld for taxes. What percent of his check was withheld?

20.2 = 162.5x

X= .124307 = 12.4%

- In 2002, the average monthly price for cell phone plans was $78.50. Because of data plans, the cost has increased 44.5% per month. What is the new average monthly cost?

X = 44.5

78.5 100

100x = 3,493.25

X = 34.93

34.93+ 78.50

$113.43

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