Question
Jack was given an end-of-year bonus. First, he gave half of his bonus to his parents and $40 to his niece. Next, he donated 2/3 of the remaining bonus to a charity. Finally, he spent 1/3 of his remaining bonus on some clothes and $10 on a bag. If he had $110 left, how much was his bonus?
Answers
I think it 161 if you add 110+40+10+2/3+1/3=161 but I don't think that's how you do it
starting with x, we have
niece: 40
charity: 2/3 (x-40)
clothes: 1/9 (x-40)
bag: 10
left over: 110
so, now you have
40 + 2/3 (x-40) + 1/9 (x-40) + 10 + 110 = x
x = 580
niece: 40
charity: 2/3 (x-40)
clothes: 1/9 (x-40)
bag: 10
left over: 110
so, now you have
40 + 2/3 (x-40) + 1/9 (x-40) + 10 + 110 = x
x = 580
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