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Published byMelissa Watkins Modified over 8 years ago

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Use the cross products property EXAMPLE 1 Write original proportion. 8 15 = x 6 Solve the proportion =. 8 x 6 15 Cross products property Simplify. 120 = 6x Divide each side by 6. 20 = x The solution is 20. Check by substituting 20 for x in the original proportion. ANSWER = 8 x 6 15

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Use the cross products property EXAMPLE 1 Substitute 20 for x. CHECK Cross products property Simplify. Solution checks. 8 20 6 15 = ? 8 15 = 20 6 ? 120 = 120

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EXAMPLE 2 Standardized Test Practice What is the value of x in the proportion = ? 4 x 8 3x – A – 6 B – 3 C 3 D 6 SOLUTION 4 x = 8 x– 3 Write original proportion. Cross products property 4(x – 3) = x 8 4x – 12 = 8x Simplify. Subtract 4x from each side. –12 = 4x Divide each side by 4. –3 = x

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EXAMPLE 2 Standardized Test Practice The value of x is –3. The correct answer is B. ANSWER ABCD

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Write and solve a proportion EXAMPLE 3 x 280 = 8 amount of food 100 weight of seal SOLUTION STEP 1 Write a proportion involving two ratios that compare the amount of food with the weight of the seal. Each day, the seals at an aquarium are each fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 280 pounds. How much food should the seal be fed per day ? Seals

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Write and solve a proportion EXAMPLE 3 STEP 2 Solve the proportion. 8 100 x 280 = Write proportion. 8 280 = 100 x Cross products property 2240 = 100x Simplify. 22.4 = x Divide each side by 100. ANSWER A 280 pound seal should be fed 22.4 pounds of food per day.

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EXAMPLE 1 Solve the proportion. Check your solution. GUIDED PRACTICE for Examples 1, 2, and 3 = 4 a 24 30 1. 5 ANSWER

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EXAMPLE 2 GUIDED PRACTICE for Examples 1, 2, and 3 3 x = 2 x– 6 2. 18 ANSWER Solve the proportion. Check your solution.

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EXAMPLE 2 GUIDED PRACTICE for Examples 1, 2, and 3 4 m 5 = m – 6 3. 18 ANSWER Solve the proportion. Check your solution.

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EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, and 3 20.8 ANSWER Solve the proportion. Check your solution. WHAT IF? In Example 3, suppose the seal weighs 260 pounds. How much food should the seal be fed per day ? 4.

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