bell quiz. objectives solve problems involving percents. write proportion and percent statements
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Bell Quiz
Objectives
• Solve problems involving percents.• Write proportion and percent statements.
Percent• A percent is a ratio that compares a number to 100.• For example, 50% is the ratio 50/100.• There are three components that form a percent statement.
– The whole is the total amount – The percent is a rate that quantifies and amount measured with respect to the
whole.– The percentage is a number that represents a percent of the whole.
– If two of the components are known, then the third component can be determined.
Example 1Using an Equation to Find a Percentage
What number is 25% of 50?
Example 2Using an Equation to Find a Percentage
What number is 125% of 64?
Lesson Practice
What number is 35% of 70?
Lesson Practice
What number is 150% of 24?
Percent
• A percent statement can be set up as a proportion.
• One ratio compares the part of a quanity to the whole quantity.
• The other ratio is the percent rate written in the form of a ratio.
Percent
• For example 10% of 50 is 5 can be written as proportion.
Example 3Using a Proportion
What number is 125% of 48?
Example 4Using a Proportion
15 is what percent of 45?
Lesson Practice
Using a proportion, find 315% of 21
Lesson Practice
59.5 is what percent of 17?
Example 5Application: Calculating Wages
Ana receives $1153.84 in gross earning every two weeks. However, 28.07% of the gross earnings are removed from taxes and other deductions. Using an equation, determine the net pay.
Lesson Practice
A driver who accelerates quickly and brakes heavily reduces his car’s fuel economy by as much as 33%. The car is supposed to get 32 miles per gallon. Using an equation, find the actual fuel economy of the car.
Example 6Application: Finances
Dominic earn $9.25 and hour working part-time. The Circle graph shows how he divides his earning. This month Dominic has worked a total of 54 hours. Find the amount of Dominic’s earnings that will be put into savings this month.
Lesson Practice
A school raised $15,432 for a new computer lab. The money will be allotted as follows: 50% for construction costs, 45% for technology purchases, and 5% for incidental expenses. Using a proportion, find the amount that will be spent on technology purchases.