Need help in solving Matrix and Determinants Word Problem

[romansy]

During a pre-calculus placement test, I came across the following question under Matrix and Determinants Section:

The number of PMU students taking Calculus I for the next semester is supposed to
be 127 . The number of males will be one more than 4/3 of the females. How many
female students will be enrolled in Calculus I ?

(A) 53 (B) 54 (C) 52 (D) 55


Of course I couldn't answer it as it was too difficult to me specially it's been long time since I studied calculus during high schools times.

When I got home, Ithought about having it here in the forum so that anybody can help.

[stapel_eliz]

The number of PMU students taking Calculus I for the next semester is supposed to be 127. The number of males will be one more than 4/3 of the females. How many female students will be enrolled in Calculus I ?

I have no idea why exercise this would be in "matrices and determinants"...?

You have a total of 127. This total is the sum of the females and the males, so f + m = 127.

Four-thirds of the females, plus one, equals the number of males, so (4/3)f + 1 = m.

Then (4/3)f + 1 + f = 127. Solve this linear equation for the number f of females.