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Working with Word Problems in Linear Equation

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## Working with Word Problems in Linear Equation

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**Learning Goals**Students can set up and solve equations from various type of word problems in linear equation.**Warm-Up/ HW Check**(Roadmap page 108, #12) Find the constant a if there is no solution to the equation of . 2. (Roadmap page 109, #17) Find the constant a, if the ratio of the solutions is 2 to 3 for the equations of , respectively.**Now let’s move on to**Word Problems in Linear Equations… Remember: Put Change Solve P.C.S.C! Check What does each word mean when solving word problems in Linear Equation?**Type 1.Cost, Sales Price, and Discount Price**(Example, #7, pg.113) 원가의 5할의 이익을 붙여 정가를 정한 어떤 상품이 팔리지 않아 정가의 3할을 할인하여 팔았더니 1500원의 이익이 생겼다. 이 상품의 정가를 구하여라. 정가 (Sales Price)= 원가 (Cost) +원가 x 이익률 (Profit (%)) 이익금(Profit) = 판매가 (Net Price) – 원가**Type 2.Speed, Time, and Distance**(Example, #14, pg.115) 형이 집에서 학교로 출발한 지 10분 후에 동생이 자전거로 같은 길을 따라 형을 쫓아갔다. 형은 시속 4km로 걷고, 동생은 시속 9km로 자전거를 타고 가면 동생은 출발한 지 몇 분 후에 형과 만나게 되는지 구하여라.**Type 3.Working Rate**(Example, #22, pg.117) It takes 12 days for Ji and 20 days for Ki to type a certain book. Diligent Ji started working first, and four days later Ki joined to complete the work. How many days did Ji and Ki work together?**Type 4.Concentration(Example, #4, pg. 119)A**beaker contains 300g of 10% salt water. Esther is taking out a cup of solution from the beaker and replacing them by the same amount of water. Then, she puts additional 20g of salt, which now makes15% solution. How much salt water did Esther take out? Recall concentration (%)= (amount of solute/amount of solution) x 100**Type 5.Train & Tunnel**(Example, #18, pg.116) 어떤 기차가 일정한 속력으로 길이 200m의 철교를 완전히 건너는 데 15초가 걸렸고, 이 기차가 같은 속력으로 길이 340m의 터널을 통과할 때는 12초 동안 기차가 보이지 않았다. 이 때 기차의 길이를 구하여라.**Type 6.Hour hand & Minute hand**(Example, #27, pg.118) Find the time between 4 and 5 o’clock when the HH and MH overlaps the HH and MH form a straight angle the HH and MH form a right angle for the first time