Dr.D spent 12% of his salary on transportation and 12% on house-rent.He then spent 25% of his remaining salary on his children's education.if her balance at hand is 2010 dollars,how much did he spend on education?
x(1-.12-.12)(1-.25) = 2010
.76*.75x = 2010
x = 3526.32
x * .76 * .25 = $670.00 on education
can you please explain it?
12% = 0.12
spending means that amount is subtracted. So, subtract .12 twice.
Having done that, subtract another 25% = 0.25, and the remainder is 2010.
Then find x, the original amount which leaves that remaining amount.
Finally, knowing x, 25% of 57% of that amount is what was spent on education.
To find out how much Dr. D spent on his children's education, we need to go through the steps provided in the problem.
First, we know that Dr. D spent 12% of his salary on transportation and 12% on house-rent. This means that he spent a total of 12% + 12% = 24% of his salary on these two expenses.
Next, we are told that he spent 25% of his remaining salary on his children's education. So, after deducting the 24% spent on transportation and house-rent, Dr. D was left with 100% - 24% = 76% of his salary.
If we represent his remaining salary after deducting transportation and house-rent as X dollars, we can set up the equation:
76% of X = $2010
To find X, we divide $2010 by 76% (or 0.76):
X = $2010 / 0.76 = $2644.74 (rounded to the nearest cent)
Now that we know his remaining salary was $2644.74, we can determine how much he spent on his children's education. Using the given information that he spent 25% of his remaining salary on education, we can calculate:
25% of $2644.74 = 0.25 * $2644.74 = $661.19 (rounded to the nearest cent)
Therefore, Dr. D spent approximately $661.19 on his children's education.