Maths問題

你的問題:
A sum of money is to be evenly shared among 12 persoms . However , two of then are absent , so each of the 10 attendees gets $50 more . find the total amout of money . ( 4 marks )

答案:
Let x be the total amount of money,
2/12x=10*50
2/12x=500
x=500*12/2
x=3000
so the total amount of money is $3000

中文解釋:
我設x為所有錢
x * 2/12係個2個absent人本應有的錢
而呢2個absent人的錢比左10個人
一人有$50
所以條式係
2/12x=10*50
(2 over 12 times x equal to 10 times 50)

希望可以幫到你!

Let the total amount of money be $x
If evenly shared among 12 persons,each person will get $y
If evenly shared among 10 persons,each person will get $y+50

(y+50)*10=y*12
10y+500=12y
2y=500
y=250
therefore, the total amount of money is $250*12=$3000