Example 2 Finding a Part of a Base What number is 24% of 200? Write proportion. 100 p = b a Simplify. = a48 Substitute 200 for b and 24 for p. 100 24 =

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Example 2 Finding a Part of a Base What number is 24% of 200? Write proportion. 100 p = b a Simplify. = a48 Substitute 200 for b and 24 for p = 200 a Multiply each side by 200. = a ANSWER 48 is 24% of 200.

Heptathlon SOLUTION In this situation, 836 is a part of the total score, which is the base. Example 3 Finding a Base Write proportion. 100 p = b a In a heptathlon, an athlete earns points in seven track-and-field events. Suppose an athlete earns 836 points in the 100 meter hurdles. This score makes up 16% of the total score. What is the total score?

Example 3 Finding a Base Substitute 836 for a and 16 for p = b 836 Multiply. = 83,60016b Cross products property = b Divide each side by 16. = 5225b ANSWER The athlete’s total score is 5225 points.

Use a proportion to answer the question. Checkpoint ANSWER 9 What number is 18% of 50 ? is 84% of what number?6. ANSWER 125