數學方程 ENG S.1

2013-10-13 6:42 pm
in a certain football league,a team will 3 points for a win, 1 point for a draw, and no points for a loss. it is known that the number of wins of a team is 7 times that of losses,and the number of draws is 5 times that of losses. if the team so far obtains a total of 52 points, find the number of wins,draws and losses.

回答 (2)

2013-10-13 7:53 pm
✔ 最佳答案
在一定的足球聯賽中,一支球隊將3點為勝利,一場平局,1點的損失並沒有點。它是已知的一支球隊獲勝的數目是7倍的損失,平的數量是5倍,損失。如果球隊迄今為止共獲得了52分,勝場數,平損失。
參考: google translate
2013-10-14 12:06 am
let x,y,z be the number of win.draw,lose respectively.
3x+y=52
x=7z
y=5z

so 3 X 7z+5z=52
z=2

put z=2 into x=7z
x=7x2=14
put z=2 into y=5z
y=5x2 =10

therefore, the number of win,draw,lose are 14,10,2 respectively


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