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### Mr. Thomas' Salary

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Date: 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?
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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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Associated Topics:
Middle School Fractions
Middle School Word Problems

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