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Monday, January 21, 2008

MGS (Paya Lebar) Pri School P6 Math CA1 2006 (Q43)

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



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.

2 comments:

  1. Mr Song
    Wish 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.

    ReplyDelete