Lesson 19, Section 3.3 (part 1)In section 3.1 you studied how to translate some application problems into a system of 2 equations (2 variables). In this lesson we will use the elimination or substitution methodsto solve such problems. We will also be studying some other types of problems that can be solved using 2 variables and 2 equations.1) The sum of two numbers is 40. The first number is 10 more than the second number. What are the numbers?2) In 2002-2003, the average total SAT score for high school students was 1026, with the average math score exceeding the verbal score by 12 points. What were the average math and average verbal score on the SAT for that year?*Source: College Entrance Examination Boardm = average math scorev = average verbal score3) Two angles are complementary, have a sum of 90 degrees. The sum of the measures of the first angle and half the second angle is 64 degrees. Find the measures of the angles.a = first angle measureb = second angle measure14) Recently an art club purchased 120 stamps for $46. If the stamps were a combination of $0.43 and $0.29 stamps, how many of each type were bought?5) In 2003 Americans bought an average of 76.4 gallons of water and soft drinks per person. The amount of water per person was only 4.3 gallons less than half of the amount of soft drinks per person. How many gallons of each did the average American buy that year?6) A community college basketball squad recently made 40 baskets in a game, some 2-pointers and the rest 3-pointers. These baskets amounted to 89 points. How many of each kind of basket was made?27) A community center served 250 dinners at a charity event. A child’s plate cost $3.50 and an adult’s plate cost $7.00. If the center raised $1347.50 from these dinners, how many of each type of plate was served?8) Diana's furniture outlet regularly sells two popular types of dinette sets; one is in oak and the other in walnut. In July, the outlet sold 5 of the oak sets and 4 of the walnut and collected $18400 from the sales of these dinette sets. In August, they sold 2 of the oak and 6 of the walnut and collected $17980. What is the price of each type of dinette set?price/oak set =price/walnut set = 9) The perimeter of a standard tennis court used for doubles is 228 feet. The width is 42 feet less than the length. Find the
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