A man spent 1/4 of his monthly salary on rent, 2/5 on food and 1/6 on books, if he still has $55,000 left, what was his monthly salary?
x(1 - 1/4 - 2/5 - 1/6) = 55000
That's some fine paycheck he has!!
To find out the man's monthly salary, we need to add up the amount he spent on rent, food, and books, and then subtract that total from the amount he has left.
Let's proceed step by step:
1. Calculate the portion of the monthly salary spent on rent: Since he spent 1/4 of his salary on rent, this means he has 3/4 of his salary remaining.
- To find out how much he has left after spending 1/4, we can divide the remaining amount by 3/4: $55,000 ÷ 3/4.
- To divide by a fraction, we can multiply by its reciprocal, so we have $55,000 × 4/3.
By multiplying, we get $73,333.33 as the amount he had before spending on rent.
2. Calculate the portion of the monthly salary spent on food: He spent 2/5 of his salary on food, so he has 3/5 of his salary remaining.
- To find out how much he has left after spending 2/5, we can divide the remaining amount by 3/5: $73,333.33 ÷ 3/5.
- Again, to divide by a fraction, we multiply by its reciprocal, so we have $73,333.33 × 5/3.
By multiplying, we get $122,222.22 as the amount he had before spending on food.
3. Calculate the portion of the monthly salary spent on books: He spent 1/6 of his salary on books, so he has 5/6 of his salary remaining.
- To find out how much he has left after spending 1/6, we can divide the remaining amount by 5/6: $122,222.22 ÷ 5/6.
- Once again, to divide by a fraction, we multiply by its reciprocal, so we have $122,222.22 × 6/5.
By multiplying, we get $146,666.67 as the amount he had before spending on books.
4. Finally, to find out the man's monthly salary, we subtract the remaining amount ($55,000) from the total amount he had before spending on books ($146,666.67):
Salary = $146,666.67 - $55,000.
By subtracting, we find that the man's monthly salary is $91,666.67.