math
posted by Noraini .
There are only Chinese and Malay pupils in a hall.The ratio of the number of boys to the number of girls is 2:3.The ratio of the number of Chinese boys to the number of Malay boys is 5:3.There are 178 more Chinese boys than Malay boys.How many girls are there in the hall?

first step: express the clues algebraically:
boys/girls = 2/3
cboys/mboys = 5/3
cboys = mboys+178
Now, we want to find the number of girls. Just for ease of algebra, let's change the above to
b/g = 2/3
c/m = 5/3
c = m+178
3c = 5m
3(m+178) = 5m
2m = 534
m = 267
So, there are 267 Malay boys and 445 Chinese boys. That means b=712.
Now, we know that 3b=2g, so
g = 3/2 * 712 = 1068
So, there are 1068 girls in the hall.
Respond to this Question
Similar Questions

Math
If the ratio of girls to boys on the swim team is 2:3, which of these shows the possible number of girls to boys: A. 20 girls, 35 boys B. 24 girls, 36 boys 
math
there were 490 altogether in 2 groups. group A consited of only boys and group b constied of only girls. ther were 2 and a half times as many girls as boys. some girls joined group b and foe every 4 boys in group a 32 more boys jioned … 
maths
There ere 258 pupils in the hall.If 1/3 of the boys left the hall and 22 girls entered the hall, there would be an equal number of boys and girls in the hall. 1) How many boys were in the hall at first? 
MATHS
Class A and Class B have the same number of pupils. The ratio of the number of boys in Class A to the number of boys in class B is 3:2. The ratio of the number of girls in Class A to the number in Class B is 3:5. Find the ratio of … 
MATH
In a school library, there are 3 Chinese Language books for every 5 English Language books. The number of Malay Language book is 5/9 as many as the Chinese Language books. Find the ratio of the number of Malay Language books to the … 
MATHS
Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. Find the ratio of the boys in … 
Maths
the ratio of the number of boys to the number of girls in a class is 4:7. if there are 12 more girls than boys, find the total number of pupils in the class. 
math
At a sports carnival,the ratio of number of pupils sent by school A,B and school C to the event was 1:2:3. The number of boys from school A and the number of girls from school B were the same. The ratio of the number of girls from … 
Math grade 6, ratio
The ratio of the number of boys to the number of girls in a school choir is 4:3.there are 6 more boys than girls.if another 2 girls join the choir, what will be the new ratio of the number of boys to the number of girls in the school … 
A class has the same number of girls and boys only
Aclass has the same number of girls and boys only eight boys were absent on aparticular day and the number of girls was doublethe number of boys what is the number of boysand girls ?