# Find the Sky Diving Club Sign-Up Fee

A Sky Diving club offers a two month membership for \$200, or a six month membership for \$300.

Both memberships include the cost of the initial sign up fee. The sign up fee is the same for both types of memberships.

The monthly fee for both types of membership is also the same.

Find the sign up fee and the monthly cost of each membership.

### Comments for Find the Sky Diving Club Sign-Up Fee

 Jul 03, 2012 Sky Diving Club Sign-Up Fee by: Staff The answer: x = monthly charge y = sign up fee two month membership for \$200 2x + y = 200 six month membership for \$300 6x + y = 300 You can easily reduce the number of variables by eliminating the “y” variable. Use the elimination method. 2x + y = 200 6x + y = 300 Multiply the second equation by -1 to change the signs 2x + y = 200 -1 * (6x + y = 300) Add the two equations 2x + y = 200 -6x - y = -300 ---------------------- (2x - 6x) + (y - y) = 200 - 300 (-4x) + (0) = -100 -4x = -100 Solve for x x * (-4) / (-4) = -100 / (-4) x * 1 = -100 / (-4) x = -100 / (-4) x = 25 substitute 25 for x 2x + y = 200 2 * 25 + y = 200 Solve for y 50 + y = 200 50 + y - 50 = 200 - 50 50 - 50 + y = 200 - 50 0 + y = 200 - 50 y = 200 - 50 y = 150 >>> final answer: monthly charge = \$25 per month sign up fee = \$150 ---------------------------------------- Check the answer by substituting the values of x and y in the 2nd original equation 6x + y = 300 6 * 25 + 150 = 300 300 = 300, OK → the solutions for x and y are valid. Thanks for writing. Staff www.solving-math-problems.com