6.2a worksheet 66.5 11) 1.296 1.5 12) 33.54 50 13) $9.83 0.98 14) $14.50 107.5 15) $9 0.25 18.64 150 212.5 0.1.

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6.2a worksheet 66.5 11) 1.296 1.5 12) 33.54 50 13) $9.83 0.98 14) $14.50 107.5 15) $9 0.25 18.64 150 212.5 0.1

Learn to use the percent equation to solve percent problems.

Class Notes All Problems involving percent breaks down into one of three basic questions: What is a given % of a given number? Ex: what is 12% of 36? 2) A given number is a given % of what number? Ex: 34 is 30% of what number? 3) A given number is what % of a given number? Ex: 56 is what percent of 78?

We use the information from the question to fill in the following proportion; % = part (is) Whole (of) Whatever we don not know becomes the variable.

To write an equation we simply turn the question into one by converting the words to their equation counterpart; is = # # What x % decimal Of We can also use an equation: Part = percent x whole

Examples: Percent Equation 1 Finding the part What is 24% of 200?

EXAMPLE 2 Finding the Whole 20 is 30% of what number?

EXAMPLE 3 Finding a Percent What percent of 7 is 4?

Example D: Percent Word Problems The African Pygmy Hippo is the smallest species of hippopotamus. Suppose a common adult hippo weighs 5600 pounds. An adult pygmy hippo weighs 10.5% of the common adult hippo. How much does the adult pygmy hippo weigh?

Examples: Percent Equation 1) 15 is 25% of what? 2) What is 38% of 192? What percent of 98 is 40? 4) What is .5% of 14? 5) What percent of 50 is 60? 6) 25 is 2% of what?

Practice 1. What number is 3% of 700? 21 2. What percent of 220 is 44? 20% 3. 81 is 18% of what number? 450 4. 63 is what percent of 36? 175% 5. Sally answered 57 out of 65 questions correct on her mat test. What percent of the questions did Sally answer correctly? 87.7% 6. Tim earns a 12% bonus of his salary each year? If Tim earned $85,500 last year, what was his bonus? $10,260 7. In order to buy a new car you need to put down a 24% deposit. If you put down $3000, what was the cost of the car? $12,500