Re: [計量] Two tanks, X and Y, are filled ...
我只會解三題...
2, 4兩題給其他高手解吧~
※ 引述《tkmax (事事如意)》之銘言:
: 做練習遇到的幾題想不出來的問題...
: 拜託各位大大幫解~~ 謝謝 <(_ _)>
: 1. Two tanks, X and Y, are filled to capacity with jet fuel.
: Tank X holds 600 gallons more than tank Y.
: If 100 gallons of fuel were to be pumped from each tank,
: tank X would then contain 3 times as much fuel as tank Y.
: What is the total number of gallons of fuel in the two full tanks?
: Ans: 1400
設Tank X holds X gallons
Tank Y holds Y gallons
則 X = Y + 600.....式1
又 X - 100 = 3 ( Y - 100 ).....式2
將式1代入式2: ( 600 + Y) - 100 = 3 ( Y - 100 ) 得Y = 400
則X = Y + 600 = 1000
所以 X + Y = 1000 + 400 = 1400
: 2. If the value if the expression above is to be halved by
: doubling exactly one of the five numbers a,b,c,d, or e,
: which should be double?
: Ans: d
看不懂...
: 3. A part-time employee whose hourly wage was increased by
: 25 prescent decided to reduce the number of hours worked
: per weeks so that the employee’s total weekly income would
: remain unchanged. By what percent should the number of hours
: worked be reduced?
: Ans: 20%
設 原本wage為W, 原本工作時間為H
後來wage為 W*(1+25%) , 後來工作時間為H'
則 W * H = 1.25W * H'
則 H': H = W : 1.25W = 80%
表後來工作時數為原來的80%, 故減少了20%
: 4. For telephone calls between two particular cities, a telephone
: company charges $0.40 per minute if the calls are placed
: between 5:00 a.m. and 9:00 p.m. and $0.25 per minute if the c
: alls are placed between the two cities placed at 1:00 p.m.
: was $10.00, how much would a call of the same duration have cost
: if it had been placed at 11:00 p.m.?
: Ans: $6.25
看不懂...
: 5. If X and Y are sets of integers, X#Y denotes the set of integers
: that belong to set X or set Y , but not both.
: If X consists of 10 integers, Y consists of 18 integers,
: and 6 of the integers are in both X and Y, then X#Y consists
: if how many integers?
: Ans: 16
畫兩個圓相交叉就知道了
答案等於X + Y - 2*(X交集Y) = 10 + 18 - 2*6 = 16
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