Question

6. There are 785 students in the senior class. If there are 77 more females in

the class than males, how many male and female seniors are there?

... please solve this using if systems of equations

Answer 1

there are 431 females and 354 males in the class

Explanation:

Let the number of females student in the class be x

Let the males by y

If there are 785 students in the senior class, then;

x+y = 785 .... 1

If there are 77 more females in the class than males, then;

x = y+77 ....2

Substitute 2 into 1

y+77+y = 785

2y = 785 - 77

2y = 708

y = 708/2

y = 354

Since x = 785 - y

x = 785 - 354

x = 431

Hence there are 431 females and 354 males in the class