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Molly worked at an amusement park over the summer. Every two

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Molly worked at an amusement park over the summer. Every two [#permalink] New post 27 May 2018, 09:03
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Question Stats:

43% (03:06) correct 56% (02:38) wrong based on 23 sessions
Molly worked at an amusement park over the summer. Every two weeks, she was paid according to the following schedule: at the end of the first 2 weeks, she received $160. At the end of each subsequent 2-week period, she received $1, plus an additional amount equal to the sum of all payments she had received in previous weeks. How much money was Molly paid during the full 10 weeks of summer?

$ enter your value

[Reveal] Spoiler: OA
$ 2,575

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Re: Molly worked at an amusement park over the summer. Every two [#permalink] New post 28 May 2018, 13:33
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Explanation

At the end of the first two weeks, Molly received $160. At the end of the fourth week, she received $1, plus $160 for the total she had been paid up to that point, for a total of $161. At the end of the sixth week, she received $1, plus ($160 + $161), or $321, for the total she had been paid up to that point, making the sixth week total $322. To keep track, put these values in a table:











Week #Paid This Week($)Cumulative Pay Including This Week ($)
2160160
4160 + 1 = 161160 + 161 = 321
6321 + 1 = 322321 + 322 = 643
8643 + 1 = 644643 + 644 = 1,287
101,287 + 1 = 1,2881,287 + 1,288 = 2,575


Hence $2,575 was earned.
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Re: Molly worked at an amusement park over the summer. Every two [#permalink] New post 05 Jun 2018, 00:56
Very well explained. Thanks!
Re: Molly worked at an amusement park over the summer. Every two   [#permalink] 05 Jun 2018, 00:56
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Molly worked at an amusement park over the summer. Every two

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