COURSE 3 LESSON 5-4 Solving Proportions

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Presentation transcript:

COURSE 3 LESSON 5-4 Solving Proportions Use cross products to determine whether the ratios form a proportion. 5 13 13 33 7 12 21 36 a. , b. , Test by writing as a proportion. 5 13 33 7 12 21 36 Write cross products. 5 • 33 13 • 13 7 • 36 12 • 21 165 169 Simplify. = / 252 = 252 5-4

Solving Proportions Solve each proportion. a. = COURSE 3 LESSON 5-4 Solving Proportions Solve each proportion. 5 32 10 p a. = Write the cross products. 5p = 32 • 10 Multiply. 5p = 320 = 5p 5 320 Divide each side by 5. p = 64 Simplify. 5-4

Solving Proportions (continued) b. = COURSE 3 LESSON 5-4 Solving Proportions (continued) b. = 3 5 q 54 Estimate The ratio is close to , so q is about of 54, or 27. 3 5 1 2 Write the cross products. 3 • 54 = 5q Multiply. 162 = 5q Divide each side by 5. = 5q 5 162p Simplify. 32.4 = q Check for Reasonableness The answer 32.4 is close to the estimate 27. The answer is reasonable. 5-4

COURSE 3 LESSON 5-4 Solving Proportions The fixed rate of conversion is 1 euro = 0.7876 Irish pounds. How many euros would you receive for 125 Irish pounds? Let p = the number of euros. = 0.7876 1 125 p Write the proportion . Irish pounds euros 0.7876 • p = 1 • 125 Write the cross products. = 0.7876 • p 0.7876 125 Divide each side by 0.7876. 125 0.7876 158.710005 Use a calculator. You would receive 158.71 euros. 5-4

Solving Proportions Solve each proportion. 1. = 2. = COURSE 3 LESSON 5-4 Solving Proportions Solve each proportion. 1. = 2. = 3. Suppose the exchange rate for dollars to Indian rupees is 0.02. How many rupees should you receive for $100? w 12 3 4 20 r 5 9 25 5,000 rupees 5-4