algebra
posted by McKenzie on .
How do I do this problem:
Chelsea sold baked goods to raise money for various charitable organizations. She gave a third of the money raised to the American Red Cross. Then gave a fourth of that money to United Way. THEN gave half of the money to Twin city Missions. If Twin City Missions received $200, how much money did Chelsea have in the beginning?

Let X = beginning amount
I assume that the first two are proportions of the grand total and the last is a proportion of the remainder.
(X  1/3 X  1/4 X)/2 = $200
Solve for X.
I hope this helps. Thanks for asking.