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Benny bought along some money when he went on a 3-day trip. On Day 1, he used

1/2 of his money and an additional $100. On Day 2, he used 2/3 of his remaining money.

On Day 3, he used 1/2 of his remaining money and was left with $10. How much money

did he bring to the trip?

 

(1)  $200

 

(2)  $220

 

(3)  $300

 

(4)  $320

 Oct 26, 2021
 #1
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Let his money==M


M - (M/2 + 100) ==M/2 - 100 - money left after day 1
1/3 * [M/2 - 100] ==[M - 200] / 6 - money left after day 2 


1/2*[M - 200] / 6 ==10, solve for M

[M - 200] / 12 ==10
[M - 200] ==10 * 12 ==120
M ==120 + 200 ==$320 - Money he brought to the trip.
                                                                    

 Oct 26, 2021

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