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Intermediate Algebra Notes Section 3.3 Name_____________________________
To do ANY percentage problem, I think that it is easier to set up proportions of the following form:
is percent of
Is = the number immediately attached to the verb “ is ” Of = the number immediately attached to the preposition “ of ”
You will never have to move a decimal point in this setup. The setup does it for you.
Ex 1: What is 62% of 1200?
Set up the problem using the template above 62 1200 100 100 1200(62) 744
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Ex 2: What is 0.2% of 10000?
. 10000 100 100 10000(.2) 20
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Ex 3: 425 is 85% of what number?
425 85 100 85 425(100) 500
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Ex 4: 1950 is what % of 5000?
1950 5000 100 5000 1950(100) 39
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Day 2 Notes:
Ex 1: A real estate agent agency receives a commission of $8,900.32 for the sale of a $124,000 house. What % commission is this?
124000 100 124000 8900.32(100) 7.18%
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Ex 2: A union negotiates a 5.5% annual raise for its members. If a member currently earns $40,323 per year, what will be their new salary? Original value goes in denominator, new value is in the numerator.
40323 100 100 40323(105.5) $42540.
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We use 105.5% because you originally had 100%, then went up 5.5%.
