Question

60% of students in a college are girls. If the number of boys is 2248, find the number of students in the
college.

Answer 1

Answer:

5620

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Step-by-step explanation:

let the number of students in the college be n.

let the number of girls in the college be m.

m = 60n/100

n = m+2248 (students in school = boys + girls)

n - m = 2248 (transposing m to LHS)

n - 6n/10 = 2248 (substituting m with 60%n)

(10n - 6n)/10 = 2248 (simplifying LHS)

4n/10 = 2248 (simplifying LHS)

n = 2248 x 10/4 (transposing 4/10 to the RHS)

n = 562 x 10 (solving RHS)

n = 5620 (solving RHS)