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Given that the ratio of boys to girls in the school is 4:3, we can say that for every 4 boys, there are 3 girls.
Let's start by finding the total number of students in the school, using the information that there are 18 girls.
If 3 girls represent a part of the whole, then we can find the total number of parts by dividing the total number of girls by 3:
18 girls ÷ 3 = 6 parts
So, there are 6 parts in the whole.
Now, since there are 4 boys for every 3 girls, we know that for every 7 parts (4 boys + 3 girls), there are 4 boys.
To find the total number of boys, we need to figure out how many groups of 7 parts there are in the whole.
6 parts ÷ 7 = 0 with a remainder of 6
This tells us that there are 0 groups of 7 parts in the whole, with 6 parts left over.
Since we know that for every 7 parts there are 4 boys, we can find the number of boys in the remaining 6 parts by multiplying 4 by the fraction of 6/7:
4 boys × 6/7 = 24/7 boys
This tells us that there are 24/7 boys in the remaining 6 parts.
To find the total number of boys in the school, we need to add the number of boys in the groups of 7 parts and the number of boys in the remaining 6 parts:
0 groups of 7 parts × 4 boys per group = 0 boys
6 parts × 4 boys per 7 parts = 24/7 boys
Total number of boys = 0 boys + 24/7 boys = 24/7 boys
So, there are 24/7 boys in the school. We can simplify this fraction by dividing both the numerator and the denominator by 3:
24/7 ÷ 3/3 = 8/7 boys
Therefore, there are 8/7 boys in the school, which is approximately 1.14 boys.
However, since we cannot have a fraction of a person, we can round this number to the nearest whole number, which is 1.
Therefore, there is 1 boy in the school for every 3 girls, making a total of:
1 boy × 18 girls = 18 boys
So, there are 18 boys in the school.