logo for solving-math-problems.com
leftimage for solving-math-problems.com

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

Click here to add your own comments

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


Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com