SOLUTION: A salesman earns five times as much in july and three times as much in August as in each of the remaining months of the year. What fraction of his entire years earning does he earn

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Question 1006875: A salesman earns five times as much in july and three times as much in August as in each of the remaining months of the year. What fraction of his entire years earning does he earn in july and August together?
Answer by Theo(13342) About Me  (Show Source):
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let x = the amount he earns in all months except july and august.
in july he earns 5x.
in august he earns 3x.

the total he earns all year is 10x + 3x + 5x = 18x

in july and august he earns 3x + 5x = 8x.

the fraction of his entire years earning that he earns in july and august is 8x/18x = 4/9.

4/9 * 18 = 8
5/9 * 18 = 10

add them up and you get a total of 18.

the fraction you are looking for is 4/9.

that's the fraction of his total earnings that he earns in july and august.