PSLE In a school, 70% of the members in Literary Club and 90% of the members in Chess Club are girls. Both clubs have the same number of boys. The Literary Club has 60 less girls than the Chess Club. How many members are there in Chess Club?
|
Literary Club |
Chess Club |
Types |
Girls |
Boys |
Girls |
Boys |
Comparing the girls and the boys in each club |
7x1 |
3x1 |
9x3 |
1x3 |
Comparing the boys in 2 clubs |
|
1 |
|
1 |
|
7 u |
3 u |
27 u |
3 u |
70% =
70100 =
710 Fraction of the members in Literary Club that are boys
= 1 -
710 =
310 90% =
90100 =
910 Fraction of the members in Chess club that are boys
= 1 -
910 =
110 The number of boys in both clubs is the same. Make the numerators the same. LCM of 3 and 1 is 3.
3x110x1 of the members in Literary Club =
1x310x3 of the members in Chess Club
310of the members in Literary Club =
330 of the members in Chess Club
Number of less girls in Literary Club than Chess Club
= 27 u - 7 u
= 20 u
20 u = 60
1 u = 60 ÷ 20 = 3
Number of members in Chess Club
= 30 u
= 30 x 3
= 90
Answer(s): 90