Answer:
The number of senators is 100
The number of representatives is 435
Step-by-step explanation:
Given data:
number of representatives is 65 less than five times the number of senators
here are a total of 535 members of congress
Let representatives be x
Let senators be y
5y - x = 65 (equation 1)
y + x = 535 (equation 2)
Adding equation 1 and equation 2
6y = 600 (Dividing both sides by 6)
y = 100
The number of senators is 100
Substituting y into equation 2
y + x =535
100+x=535
x=535-100
x=435
The number of representatives is 435
