Last year, the ratio of the number of boys to the number of girls in a chess club was 5 : 3. After 5 boys and 9 girls joined the club this year, the ratio became 5 : 4. How many girls were there in the chess club at first?
Solution
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20 units + 20 ----- 15 units + 45
20 units – 15 units ----- 45 – 20
5 units ----- 25
1 unit ----- 25 divided by 5 = 5
(Girls at first) 3 units ----- 5 x 3 =
15
Answer: There were 15 girls at first.
Mr Song
ReplyDeleteWish to seek your opinion on the use of equivalent ratio to solve this problem. This method may be more suitable for weaker students , but it’s longer
Before After
B:G B:G
5:3 5:4
25:15 30:24
As there is an increase of 5 boys and 9 girls
30-25 =5 boys
24-15 =9 girls
At first there are 15 girls
Will students be penalised if they use this method.
Dear Anonymous,
ReplyDeleteMy reply can be found in this link.