SOLUTION: Hi Henry spent $380 on clothes and $170 on food and gave 40% of the remainder to Janet. Then he saved the rest of his money. If he saved 30% of his original sum of money, how muc

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Question 1170708: Hi
Henry spent $380 on clothes and $170 on food and gave 40% of the remainder to Janet. Then he saved the rest of his money. If he saved 30% of his original sum of money, how much did he give janet
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x = his original sum of money.
he spent 380 + 170 = 550 on food and clothes.
that means he had (x - 550) left.
he gave 40% of this to janet.
that means he had (x - 550) - .4 * (x - 550) left.
simplify this to get that he had x - 550 - .4 * x + 220 left.
combine like terms to get that he had .6 * x - 330 left.
this was 30% of his original money which means that x = (.6 * x - 330) / .3
simplify this to get x = 2 * x - 1100
solve for x to get x = 1100

original amount of money that he had was 1100.
confirm by replacing x in the original equation to get:
1100 - 550 = 550 left.
550 - .4 * 550 = 330 left.
330/.3 = 1100.

the numbers are good.
you are asked how much he gave to janet.
he gave janet 40% of 550 = 220.
that's your solution.