Supplement #10 - Section 4.5, Applications and Problem Solving 1. One number is 5 more than a second number. The sum of the numbers is twenty-nine. Find the numbers. 2. One number is six times another. The sum of the numbers is 266. What are the numbers? 3. The perimeter of a college basketball court is 96 meters and the length is twice as long as the width. What are the length and width of the court? 4. A banner in the shape of an isosceles triangle has a base that is 6 inches shorter than either of the equal sides and the perimeter of the banner is 27 inches. What is the length of the equal sides? 5. The sum of the measures of two complementary angles is 90. If one angle measures 9 more than twice the measure of the other, find the measure of the smaller angle. 6. The sum of the measures of the angles of any triangle is 180. In triangle ABC, angles A and B have the same measure, while the measure of Angle C is 39 more than each of A and B. What are the measures of the three angles? 7. The sum of the angle measurements in any triangle is 180 . One of the angles measures 55; the measure of the second is five more than three times the measure of the third angle. Find the two unknown angle measurements. 8. A family of two adults and three children fly from Connecticut to Florida for a vacation. Each adult airline ticket costs $ 85 more than each child ticket. The total cost for the flights is $ 1345. Find the cost of each ticket, using the table below to organize your information. Categories Value Number Amount 9. A cashier has a total of 35 bills; made up of tens and fifties. The total value of the money is $ 1030. How many of each kind does she have? Use the table below to organize your information. Categories Value Number Amount 10. A woman owns two stocks. Stock A is worth 20 times as much as Stock B. She has 12 shares of Stock A and 13 shares of Stock B. The total worth of the stocks is $ 1265. Find each stock's share price, using the table below to organize your information. Categories Value Number Amount 11. A decorator uses 66 feet of wallpaper border in a room. The length of the room is 5 feet more than the width. What are the dimensions of the room? 12. A pair of pants costs $ 6 more than a knit shirt. The total cost to purchase 5 knit shirts and 3 pairs of pants is $ 170. Find the price of each item, using the table below to organize your information. Categories Value Number Amount