數學高手，請幫忙解答。?
2016-10-22 3:19 pm
A Football team will score 3 points for a win, 1 point for 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 losses. If the team obtained a total of 52 points already, find the numbers of wins, draws and losses.
回答 (2)
2016-10-22 8:23 pm
Let w, d, and ℓ be respectively the number of wins, draws and losses.
{ w = 7ℓ
{ d = 5ℓ
{ 3w + 1d + 0ℓ = 52
3(7ℓ) + 1(5ℓ) + 0ℓ = 52
21ℓ + 5ℓ = 52
26ℓ = 52
ℓ = 2
d = 5ℓ = 10
w = 7ℓ = 14
{ w = 7ℓ
{ d = 5ℓ
{ 3w + 1d + 0ℓ = 52
3(7ℓ) + 1(5ℓ) + 0ℓ = 52
21ℓ + 5ℓ = 52
26ℓ = 52
ℓ = 2
d = 5ℓ = 10
w = 7ℓ = 14
2016-12-01 11:18 am
14 wins, 10 draws, 2 losses
收錄日期: 2021-04-18 15:41:52
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