# Maths

posted by .

in a class the ratio of boys to girls is 3:2, if there are 11 more boys than girls, how many children are in the class

• Maths -

first we represent unknowns using variables,,
let x = number of boys
let y = number of girls
according to first statement, ratio of boys to girls is 3:2 or 3/2 . thus we can write,
x/y = 3/2 or
x = (3/2)*y
according to second statement, there are 11 more boys than girls, thus,
x = y + 11
substituting the relationship we ot earlier - the x = (3/2)*y - to this :
(3/2)*y = y + 11
1.5y = y + 11
1.5y - y = 11
0.5y = 11
y = 22 girls
substituting this to x = (3/2)*y
x = 1.5*22
x = 33 boys

hope this helps~ :)

## Similar Questions

1. ### Math

Mrs.Smith's class has 12 girls and 8 boys. What percent of he class are girls?
2. ### Math 156

The ratio of girls to boys in Mr. Maddox's class of 20 students is 3:2. The ratio of girls to boys in Ms. Woods class of 17 students is 2:1. which teacher has more girls?
3. ### Maths

There are 40 pupils in a class. There are 10 more boys than girls. When some boys from another class join the class, the percentage of boys to girls becomes 70%. How many boys joined the class?
4. ### Maths

1)There 40 pupils in a class. There is chart so i counted the number of boys and the number of girls Boys-24 Girls- 16 what is the ratio of girls to boys in the class?
5. ### math

The ratio of boys to girls in a class room was 9:8. Half of the girls left the classroom, and then there were 15 more boys than girls. A. How many children were in the classroom in the beginning?
6. ### mathematics

there are 5 more girls than boys in a class. if 2 boys join the class, the ratio of girls to boys is 5:4. find the number of girls in the class.
7. ### maths

in a class both boys and girls ratio is 4:5.. if boys percentage is 25% of girls ...so hiw many girls are in a class..
8. ### Mathematics

There are 5 girls more than boys in a class. if 2 boys joined the class the ratio of girls to boys is 5:4. find the total number of student in the class.
9. ### Math

The number of girls and boys in a class are in the ratio 7: 5 and there are 8 more girls 10 boys. how many girls and boys are there in the class.