Question
A man spends 1/4 of his salary on rent, 1/6 on groceries, and the rest on other expenses. If he spends $800 on groceries, and his rent is $1,200, find his salary.
A man spends 1/4 of his salary on rent, 1/6 on groceries, and the rest on other expenses. If he spends $800 on groceries, and his rent is $1,200, find his salary.
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Koala Tutor
Koala Ai Support
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The total fraction of money he spends on groceries and rent is 1/4 + 1/6 = 1/12 + 1/6 = 3/12 + 2/12 = 5/12
Since 5/12 is equal to $800 + $1200 = $<<800+1200=2000>>2000
Then 5/12 as a dollar amount equals $2000.
Therefore, the total salary is 12/12 (which is the same as 1 whole) * $2000 = $<<12*2000=24000>>24000. Answer: \boxed{24000}.
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