SOLUTION: The average salary for computer programmers is &7740 less than twice the average salary for carpenters. Combined, their average salaries are 99,000. Determine the average salary

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Question 344622: The average salary for computer programmers is &7740 less than twice the average salary for carpenters. Combined, their average salaries are 99,000. Determine the average salary for each of these jobs. The answer according to the back of the book is: carpenters $35580 Computer programmers, $64420. How do you work this problem?
Answer by nerdybill(7384) About Me  (Show Source):
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The average salary for computer programmers is &7740 less than twice the average salary for carpenters. Combined, their average salaries are 99,000. Determine the average salary for each of these jobs. The answer according to the back of the book is: carpenters $35580 Computer programmers, $64420.
.
Let x = salary of a carpenter
then from "average salary for computer programmers is $7740 less than twice the average salary for carpenters"
2x-7740 = salary of programmer
.
From:"Combined, their average salaries are 99,000"
x + (2x-7740) = 99000
3x-7740 = 99000
3x = 106740
x = $35580 (carpenter)
.
Programmer:
2x-7740 = 2(35580)-7740 = 71160-7740 = $63420