Respuesta :
To solve such problems we must know about fractions and ratios.
Part 1
Fraction
A fraction is a way to describe a part of a whole. such as the fraction [tex]\dfrac{1}{4}[/tex] can be described as 0.25.
The number of girls in the fifth grade at Lenape Elementary School is 27.
Part2 - Explanation
Ratio
According to the given information in the question, [tex]\bold{\dfrac{3}{4}}[/tex] as many girls, as there are boys. therefore, the number of girls are [tex]\bold{\dfrac{3}{4}}[/tex] the number of boys.
[tex]\bold{\dfrac{3}{4}\times Boys} = \bold{Girls}[/tex]
[tex]\bold{\dfrac{3}{4}} = \bold{\dfrac{Girls}{Boys}}[/tex]
Total number of student
We get the ratio for girls and boys, further assuming from the ratio that there are 3x girls and 4x boys in the school.
Total number of student = number of girls + number of boys
63 = 3x + 4x
63 = 7x
x = [tex]\bold{\dfrac{63}{7}}[/tex] = 9.
Number of girls
Substituting the value of x, we get,
Number of girls = 3x = 3 x 9 = 27,
Hence, the number of girls in the fifth grade at Lenape Elementary School is 27.
Learn more about Fractions:
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