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## Problem Solving

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**The Steps**• Understand the problem. • Devise a plan to solve the problem. • Carry out the plan. • Look back.**Four Point Checklist**• Readto understand the question and identify the needed data. • Planwhat to do to solve the problem. • Solvethe problem by carrying out the plan.**Four Point Checklist**• Checkto make sure the solution is reasonable.**Example**Tickets for the school play cost $5 for adults and $2.25 for children. If 94 adults and 141 children attended the play, what was the total amount of ticket money collected?**Example**• Read: Determine what the question is and identify the given information.**Example**• Read Question:How much money was collected for tickets? Information:Ticket prices were $5 for adults and $2.25 for children; 94 adults and 141 children attended.**Example**• Plan: Determine how the given information relates to what you are trying to find. Let c be the total cost. c = (number of adult tickets × cost per ticket) + (number of child tickets × cost per ticket)**Example**• Solve: Use the plan to answer the question. c = (94 × 5) + (141 × 2.25) c = $787.25**Example**• Check: Is your answer reasonable? Use estimation to check the answer. (90 × 5) + (150 × 2) = 450 + 300 = 750 The answer is reasonable.**Example**Mrs. Jacobs bought 2 lb. of bananas for $0.68/lb., a box of wafer cookies for $2.68, and a box of vanilla pudding for $0.89. She paid with a $20 bill. How much change should she receive?**Example**The Robbins family is planning a vacation. They plan to drive 318 mi. the first day, 350 mi. the second day, and 225 mi. the third day. The cost of gasoline for their car is about $0.10 per mile. How much will their gas cost? Round to the nearest dollar.**Exercise**Amy bought a 10 lb. bag of potatoes for $4.29, 3 lb. of apples at $1.29/lb., and a honey-baked ham for $16.25. How much change did she receive from a $50 bill?**Exercise**Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 for the same trip. One day 8 canoes and 4 kayaks were not rented. How much money was collected for rentals that day?**Exercise**Twenty–five men volunteered to lay 1,450 pieces of sod around a new church building. If each man was given an equal number of pieces, how many pieces did each man get?**Exercise**Karina purchased 5 yd. of fabric costing $7.99/yd., two spools of thread at $1.25/spool, and a pattern costing $5.75. What was the total amount of her purchase before tax?**Exercise**Dan bought a 5 lb. bag of sugar for $2.19, 2 lb. of apples at $1.09/lb., and a 20 lb. box of laundry detergent for $16.59. How much change did he receive after paying with a $20 bill and a $10 bill?**Exercise**The eighth-grade class plans to produce a three-act play. The set for the play will cost $420, the play scripts will cost $250, and the costumes for the play will cost $175. What will be the total cost of the play?**Exercise**If the tickets for the play cost $3 and 350 people attend, what will be the total income from the play? Find the profit or loss for the class on this venture.**Exercise**The soccer team plans to take five trips to visit schools for games this season. The roundtrip mileage for the five trips is as follows: 44 mi., 126 mi., 60 mi., 188 mi., and 244 mi. What is the total mileage for the trips?**Exercise**If the school budgets $0.42/mi. for gasoline, what will be the total budgeted for the trips?**Exercise**Tri-City Rent-All has six mowers and three tillers that can each be rented for $29 per day. One day two mowers and one tiller were not rented. How much money was collected in rent for the machines that day?