Question

At a recreation and sports facility 3 members and 3 nonmembers pay a total of $180 to take a

aerobics class. A group of 5 members and 3 nonmembers pay $210 to take the same class
How much does it cost each member and nonmember to take an aerobios class?​

Answer 1

members: $15

nonmembers: $45

Explanation:

x: members

y: nonmembers

3x + 3y = 180

5x + 3y = 210

Subtract equations to cancel out y values.

-2x = -30

x = 15

Substitute this x value into an equation.

3x + 3y = 180

3(15) + 3y = 180

3y = 135

y = 45