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2.6 Ratios and Proportions A ratio is a ___________ of two quantities. The ratio of a to b is written: ______ or ___. Write a ratio for each of the following. Ratio of 4 dollars to 6 dollars Ratio of 4 dimes to 3 quarters A proportion is a statement which expresses the equality of ____ __________. Cross – Multiplication If a c , then _____ = _____. b d a c b d If two ratios are equal, then their cross products must be equal. Which of the following proportions are true statements? 3 7 4 9 15 24 20 32 Find x in the following proportions. 25 x 15 9 Verify. 24 4 x 2 5 Verify. A university maintains a student-teacher ratio of 28:3. If a total of 4172 students are registered for the next spring, how many teachers will be needed to maintain the ratio? The distance between Jackson, Mississippi, and Atlanta, Georgia, is 375 miles. On a certain map, this is represented by a length of 9 inches. Memphis, Tennessee, and Philadelphia, Pennsylvania, are situated 1000 miles apart. Find the length of a line that connects these two cities on the map. A taxpayer pays a state tax of $500 on an income of $15000. If the tax rate remains the same, how much state tax would he have to pay if his income increases by $6000? The length and width of a rectangular lot are in the ratio 5:3. If the perimeter of the lot is 800 yards, find the length and width. A certain mixture is made by mixing two ingredients in the ratio 3:5. If it is required to make 10 pounds of mixture, how much of each ingredient will be needed?