NAME DATE SCORE (. Problem Solving with Equations (For use \"in. Lesson 1-9) By working through the steps in the problems below. you will gain skill in solving problems by using the step plan and an equation in one variable. Problem I A parking meter contains $8.80 in nickels, dimes. and quarters. If the numbers of nickels. dimes. quarters [in that order) are consecutive odd integers. how many of each coin are in the meter? at. What does the problem ask you to nd? ,'. h. Complete. For each type of coin. total value = _______.._ x _.__...__.__. 1:. Let n = number of nickels. Complete this chart. Value (cents) Total Value Nickels Quarters e. Use this fact to write an equation for the problem (Hmr: Remember to use the same unit of measurement f values.) I'. Solve to find the value of u. g. Write your answer to the problem. h. Check by nding the numerical values of the nickel:., the dimes. the quarters. and the collection of coins. ._.i',.___ + ___.._D___ + __Q__._ " L + ' + D {con tinned} NAME DATE SCORE Problem Solving with Equations (continued) O Problem 2 At 1:00 p.M. two planes leave Rome to fly to Paris. One flies 46 mph faster than the other. lands at 2:30 P.M. and the other, ten minutes later. Find the distance between Rome and Pai a. What does the problem ask you to find? b. Recall the distance formula. distance = rate X time. Of these three quantities. which do you know? c. Circle the number below that indicates the best way to start the solution of the problem. 1. Let / = flying time in hours of faster plane. 2. Let s = speed in mph of slower plane 3. Let d = distance in miles between Rome and Paris. d. Use your choice in part (c) to complete this chart. (Hint: Use fractions to express the time in hours.) Rate (mph) Time (hours) Distance (miles) Slower plane Faster plane O e. What must be true about the distances that the planes flew? f. Write an equation for the problem. g. Solve the equation and find a numerical value for each plane's speed. Slower plane Faster plane h. Notice that your answers in part (g) do not solve the problem, but they enable you to do so and to cl work. Write your answer for the problem. i. Check your results by computing and comparing the distance traveled by each plane. Slower plane Faster plane O