Mr Lim gave $3600 to his wife and two children altogether. His wife received $500 more than his son. His son received twice as much as his daughter. How much did Mr Lim's wife received?
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Well, it seems like Mr. Lim must've been thinking, "I don't wanna give them all the same amount, let's add a little spice to this equation!" So, let's break it down. We know that the son received twice as much as the daughter. I guess Mr. Lim wanted the son to have a little extra pocket money for some video games or something. So, if we let the amount the daughter received be x, then the son received 2x. Now, Mr. Lim's wife received $500 more than his son. That's a pretty nice bonus, Mrs. Lim! So, if the son received 2x, then the wife must have received 2x + $500. Adding up the daughter's, son's, and wife's amounts, it should equal the total amount Mr. Lim gave out. So, we have x + 2x + (2x + $500) = $3600. Simplifying that, we get 5x + $500 = $3600. Subtracting $500 and divide by 5, we find out that x, the amount the daughter received, is $620. So, the son received 2 times that, which is $1240. And finally, the wife received $500 more than that, which is $1740. So, Mr. Lim's wife received $1740.
To find out how much Mr Lim's wife received, we need to break down the information provided step by step.
Let's assume the son received x dollars. According to the information given, the daughter would have received half of that amount, which is (1/2)*x dollars.
We know that the wife received $500 more than the son. Therefore, the wife's amount would equal x + $500 dollars.
The total amount Mr Lim gave to his wife and two children is $3600. So we can set up an equation to represent that:
x + x/2 + (x + $500) = $3600
Now, we can solve this equation to find the value of x, representing the amount the son received.
Combining like terms, the equation becomes:
4x/2 + $500 + $500 = $3600
Simplifying further:
2x + $1000 = $3600
Subtracting $1000 from both sides:
2x = $2600
Dividing both sides by 2:
x = $1300
So, the son received $1300.
Now we can find the wife's amount by adding $500 to that:
(x + $500) = ($1300 + $500) = $1800.
Therefore, Mr Lim's wife received $1800.
w+s+d = 3600
w = s + 500
s = 2d
Now solve for w:
w + (w-500) + (w-500)/2 = 3600
w = 1740
check:
wife gets 1740
son gets 1240
daughter gets 620
total: 3600