Mr. Thomas' SalaryDate: 9/6/96 at 7:0:32 From: Anonymous Subject: Mr. Thomas' Salary Mr. Thomas received his salary and immediately spent 1/12 of it to buy himself a watch and 3/11 of the remaining to pay for a new television set for the family. He then gave his wife $550 for her expenses and deposited the rest of the money, which amounted to $1050 into the bank. How much was his salary? Hi! Let S = Mr. Thomas's salary. Mr. Thomas spent 1/12 of S on a new watch. Subtracting the 1/12 of S he spent from the amount he started with (12/12 of S) leaves: 12/12 - 1/12 = 11/12 of S remaining. Then he spent 3/11 of that remaining 11/12 on a TV. Again, subtract the amount he spent ( 3/11 of 11/12 of S which = 3/11 * 11/12 = 3/12 of S) from the total he had before (11/12 of S). This leaves 11/12 - 3/12 = 8/12 of S. He then gave $550 to his wife and put $1050 in the bank. This accounted for the remainder of the money. This means that 550 + 1050 is the amount he had left after buying the TV and the watch which we found to be 8/12 of S. So 550 + 1050 = 1600 = 8/12 of S. Writing in a standard equation form: 1600 = 8/12 * S Now solve for S 12 * 1600 / 8 = S S = 2400. So Mr. Thomas' salary was $2400. Hope this helps. -Doctor Kathleen The Math Forum Check out our Web site! http://mathforum.org/dr.math/ |
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