There are three hundred students at Mackenzie Middle School in Brain City. If 57% of the students are female, what is the ratio of female students to male students? Answer in lowest terms
First, calculate 57% of 300.
57/100 = x/300
x = 171
For 171 female students, there are 129 male students.
171:129
Now, you see that both these numbers are divisible by 3.
In lowest terms, this is:
57:43
good answer, but a lot of work.
If 57% are female, 43% are male, so the ratio is
57:43
Oh, I completely forgot I can do that! Yes, Steve's method is much faster.
To find the ratio of female students to male students, we first need to calculate the number of female students.
To do this, we multiply the total number of students by the percentage of female students:
Number of female students = 300 * 57% = (300 * 57) / 100 = 171
Next, we can find the number of male students by subtracting the number of female students from the total number of students:
Number of male students = 300 - 171 = 129
Now, we can calculate the ratio of female students to male students:
Ratio = Number of female students / Number of male students = 171 / 129
To simplify this ratio to its lowest terms, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 171 and 129 is 3:
171 ÷ 3 = 57
129 ÷ 3 = 43
Therefore, the ratio of female students to male students in lowest terms is 57:43.