请教各位这道题的算术方法以及设方程为男女总数的方法。麻烦大家很多次了,真是感谢各位。
If Mrs Tan transfers 1 girl from the Math Club to the English Club, 1/7 of the remaining members in the Math Club will be girls. However if she transfers 2 boys instead to the English Club ,then 1/5 of the remaining pupils in the Math Club will be girls. What is the total number of boys and girls in the Math Club?
G–>the number of girls left after 1 girl was moved to English Club
B–>the number of girls left after 2 boys was moved to the English club
1G+1=1B
6G-2=4B
4G+4=4B
6G-2=4G+4
6G-4G=4+2
2G–>6
G–>3
3×7=21
21+1=22The total number of boys and girls at first is 22.
假设总数是t
(t-1)/7+1=(t-2)/5
5t-5+35=7t-14
2t=44
t=22
Girl 4
Boy 18
1u — > 3
Total — > 3×7+1 = 22
设girl is 1u+1, boy is 6u, total is 7u + 1
1u+1/7u+1-2 = 1/5
1u=3
7u+1=22
谢谢大家