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# Word Problem!! (Geometric Sequence)

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210
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A certain school had a fund raising activity. Each board member was requested to sell two (2) tickets on the first day and double the sales each day for 10 days. If Mr. Santos, a board member, met his quota. How many tickets did he sell on the 10th day? If a ticket costs 50 each and a seller is given 5% commission of the total sales. How much will Mr. Santos receive for his commission?

Matimatix  Jul 4, 2017
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#1
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On the 10th day, Mr. Santos should have sold =2^(10-1)=2^9=512 tickets.

Guest Jul 4, 2017
#2
+80874
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By "doubling the sales." I'm assuming that you mean the previous day's sales......

We can find the total number of tickets sold with this sum

10

∑  2n  =  2046

n = 1

On the 10th day he would have sold  2^10 =  1024 tickets

His total sales   =  2046 * .50  =  \$1023

Since he makes a commission of 5%, he receives  \$1023 * .05  =  \$51.15

CPhill  Jul 5, 2017

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