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Question 972906: Ed gave half of his salary and 500 php to his parents. Then he spent half of his remaining salary and 1000 php on rent. How much was his salary if he has 5600 php left?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let x = his salary.
that's what he starts out with.
he gives half of his salary plus 500 to his parents.
that would be .5x + 500.
subtract that from his salary and you get:
x - (.5x + 500) = x - .5x - 500 = .5x - 500.
what he has left is .5x - 500.
he then spends half of that plus 1000 on his rent.
that would be .5 * (.5x - 500) + 1000
simplify that and you get .25x - 250 + 1000
simplify further and you get .25x + 750.
what he spent on his rent is .25x + 750.
after he gave the money to his parents, he was left with .5x - 500
from this, he took away another .25x + 750 for his rent.
he is now left with:
(.5x - 500) - (.25x + 750) = .5x - 500 - .25x - 750 = .25x - 1250.
he was left with .25x - 1250 after he gave the money to his parents and after he paid his rent.
since what he has left was given as 5600, then you get:
.25x - 1250 = 5600.
solve for x and you get what his salary was.
start with .25x - 1250 = 5600.
add 1250 to both sides of the equation to get .25x = 6850
divide both sides of the equation by .25 to get x = 6850 / .25 = 27400.
that's his salary.
he gave half of that plus 500 to his parents.
that equals 27400 / 2 + 500 = 14200.
he was left with 27400 - 14200 = 13200.
he paid half of that plus 1000 for his rent.
that equals 13200 / 2 + 1000 = 7600.
he was left with 13200 - 7600 = 5600.
numbers check out, so the solution is good.
his original salary was 27,400.
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