Question

a high school has a total of 850 students. there are 60 more females students than male students.a. write a system of linear equations that represents this situation.b. how many students are female? male?

Answer 1

Let the number of males be x.

Let the females be y.

x + y = 850 .............(a)

y - x = 60 .............(b)

The system of linear equations are represented as above.

Adding equations (a) and (b)

x + y + y - x = 850 +60

2y = 710

y =910/2 = 455

Recall: x + y = 850,

x + 455 = 850

x = 850 - 455

x = 395.

Number of males, x = 395

Number of females, y = 455

Hope this explains it.

Answer 2

a.

f = 60 + m
f + m = 850

b.

60 + m + m = 850
2m = 790
m = 395

f = 60 + 395
f = 455