英文正負數...急!!!

2009-08-24 8:48 pm
1.At the beginning of the year, Healthy Company had a cash balance of $180 000. The company made a loss of $40 000 monthly for the first five months, and then started making a profit of $15 000 monthly for the rest of the year.
In the same year, Lively Company had a cash balance of $200 000 at the beginning. the company made a profit of $5 000 monthly for the first three months, and then started making a loss of $30 000 monthly for the rest of the year.
(a)At the end of April, how much cash was left with Healthy Company and Lively Company each?
(b)At the end of August, which company had more cash left?
(c)Cheerful Company had a cash balance of $220 000 at the beginning of the year. At the end of August, the cash balance of the company is the same as that of Lively Company. If Cheerful Company made the same amout of profit/loss monthly for the whole year, what was the amount of monthly profit/loss made by the company?

2. 4 people played cards for 5 rounds. In each round, there is 1 winner, and the marks got by the winner equals the total marks lost by the losers. It is known that the marks lost and got are represented by a negative number and a positive number respectively. The following table shows the accumulated marks at the end of each round.
Mike John Danny Stephen
Round 1 -5 -4 (we don't know) +33
Round 2 -13 -11 -3 +27
Round 3 -21 -17 +47 -9
Round 4 -43 +49 +25 -31
Round 5 -50 +89 +1 -40
(a)Who was the winner in the 1st round? How many marks did Danny lose?
(b)Who was the winner in the 2nd round? How many marks did he get?
(c)How many marks did Stephen lose in the 3rd round?
(d)How many rounds did each of them win?

唔該教我計加解釋啊!!!

回答 (1)

2009-08-26 11:08 pm
✔ 最佳答案
1.
Healthy Company 在年初有現金$180,000 頭五個月每月虧損$40,000 餘下七個月至年底每月獲利$15,000
Lively Company 在年初有現金$200,000 頭三個月每月獲利$5,000 餘下九個月至年底每月虧損$30,000

(a) At the end of April
Healthy Company had 180,000 + (- 40,000)*4 = $20,000
Lively Company had 200,000 + (+ 5,000)*3 + (- 30,000)*1 = $185,000

(b)At the end of August
Healthy Company has 180,000 + (- 40,000)*5 + (+ 15,000)*3 = $25,000
Lively Company has 200,000 + (+ 5,000)*3 + (- 30,000)*5 = $65,000
so Lively Company had more cash left.

(c)Cheerful Company 在年初有現金$220,000 八月底的現金與Lively Company 相同. 如Cheerful Company 每月獲利/虧損金額相等, 那每月獲利/虧損的金額是多少?

(65,000 - 220,000) / 8 = - 19,375
每月虧損 $19,375

2. 四人玩紙牌遊戲五局, 取勝一方所得分數是其他敗方所失分數總和. 以下是每局的累積得分.

.....................Mike.....John...Danny...Stephen
第1局累積.... - 5 ...... - 4 ...? (- 24) .. + 33
第2局結果... - 8 ...... - 7 .... + 21 ........ - 6 (將第2局累積減第1局累積)
第2局累積.. - 13 ..... - 11 ..... - 3 ...... + 27
第3局結果... - 8 ....... - 6 ... + 50 ...... - 36 (將第3局累積減第2局累積)
第3局累積.. - 21 ..... - 17 ... + 47 ........ - 9
第4局結果.. - 22 ..... + 66 ... - 22 ...... - 22 (將第4局累積減第3局累積)
第4局累積.. - 43 ... + 49 ... + 25 ....... - 31
第5局結果.... - 7 ... + 40 .... - 24 ........ - 9 (將第5局累積減第4局累積)
第5局累積... - 50 ... + 89 ..... + 1 ...... - 40

(a)The winner in the 1st round was Stephen, Danny lost 33 + (- 5) + (- 4) = 24 marks

(b)The winner in the 2nd round was Danny, he got - 3 - (- 24) = 21 marks

(c)Stephen lost - 9 - ( + 27) = - 36 marks in the 3rd round

(d)
Mike wins 0 round
John wins 2 rounds in the 4th and 5th round
Danny wins 2 rounds in the 2nd and 3rd round
Stephen wins 1 round in the 1st round


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