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標題:
3 long F3 Maths questions
發問:
1.The student union of a school organizes a fund-raising ball every year. Last year, 180 students attended the ball. The ticket price of the ball was $50 and the total cost was $3500. Suppose the number of students who attend the ball is increased by 20% and the total cost is increased by 25% this year.If the... 顯示更多 1.The student union of a school organizes a fund-raising ball every year. Last year, 180 students attended the ball. The ticket price of the ball was $50 and the total cost was $3500. Suppose the number of students who attend the ball is increased by 20% and the total cost is increased by 25% this year. If the students' union wants an increase of 30% in the amount of funds raised as compared to last year, what should be the percentage in the ticket price? (cor. to 2 sign. fig.) 2.Paul drives from X to Y at an average speed of 60 km/h for t hours. He then has to co mplete another journey which is 20% longer than the distance between XY, but in a tie 10% less than t hours. If Paul drives at an average speed to complete the second journey, what is the percentage increase in his speed? 3. A certain liquid is placed in a rectangle container. After heating, both the length and the width of the container increased by 2%. At the same time, the volume of the liquid inside increased by 10%. Find the percentage change in the depth of the liquid. (cor. to 1 decimal place) answer of Q.1 :6.7% Q.2 : 33/1/3% Q.3 : 5.7% Plz give me the full steps. Thank you very much!!!!!!!!!
最佳解答:
1. Last year : 180 students Total ticket price = 180 X $50 = $9000 Total cost = $3500 Fund raised = 9000 - 3500 = $5500 This year : Number of student = 180 X (1+0.2) = 216 Total cost = $3500 X (1.25) = $4375 Fund raised = $5500 X (1.3) = 7150 Ticket price = ($7150 + $4375)/216 = $53.36 ($53.36-$50)/$50 = 0.0671 = 6.7% 2. Distance XY = (60)(t) km Distance (1.2)(XY) = (1.2)(60)(t) = 72t km Time = (1-0.1)t = 0.9t speed = Distance / Time = 72t/0.9t = 80 km/h (80 - 60) / 60 = 0.3333 = 33.33% 3. Volume = Width X Length X Height V = W X L X H ............................ (1) V' = W' X L' X H' 1.1V = 1.02W X 1.02L X H' ....... (2) (2) / (1) gives 1.1 = 1.02 X 1.02 X (H'/H) H'/H = 1.05728 Depth is 5.7% increased
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