Question

Please help! I will give you brainliest answer if you answer first and correctly, plus you have to explain!

Answer 1

Deacon Middle School
5x = number of boys
4x = number of girls
where x is some unknown number for now

(number of boys)+(number of girls) = 270 students total
5x+4x = 270
9x = 270
x = 270/9
x = 30

Since x = 30, this means
number of girls = 4x
number of girls = 4*30
number of girls = 120

There are 120 girls at Deacon Middle School

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Similarly, for Meadow Middle school
number of boys = 4y
number of girls = 5y
for some number y

(number of boys) + (number of girls) = 180 students total
4y+5y = 180
9y = 180
y = 180/9
y = 20

making,
number of girls = 5*y
number of girls = 5*20
number of girls = 100

so there are 100 girls at Meadow Middle School

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In summary so far, there are...
120 girls at Deacon Middle School
100 girls at Meadow Middle School
In total 120+100 = 220 girls from both schools

This is out of 270+180 = 450 students total

Divide the two values (220 and 450) to get
220/450 = 22/45

The final answer is 22/45
It cannot be reduced further as there are no common factors (other than 1) between 22 and 45