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Lemur [1.5K]
3 years ago
6

The ratio of the number of boys to the number of girls in the school is 11 : 13 there are 72 less boys in the school how many ki

ds are in the whole school
Mathematics
1 answer:
professor190 [17]3 years ago
4 0
Lets:
x=number of boys.
y=number of girls

We can suggest this system of equations:
x/y=11/13      ⇒x=11y /13
x=y-72

We can solve this system by substitution method
(11y/13)=y-72
lower common multiple=13
11y=13y-936
11y-13y=-936
-2y=-936
y=-936/-2
y=468

x=11y/13=11(468)/13=396

There are 396 boys and 468 girls in this school,
number of kids=number of boys + number of girls.
number of kids=396+468=864

Answer: there are 864 kids in this school. 
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