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A shop sells each chocolate for $1 . however , if any

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jackfr2
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A shop sells each chocolate for $1 . however , if any [#permalink] New post   22 Oct 2019, 09:07
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A shop sells each chocolate for $1 . however , if any purchaser returns three empty wrappers , he will get a free chocolate. If John has a total of $15 how many chocolate can he get at total ?

a. 15
b. 19
c. 20
d. 21
e. 22

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E
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A shop sells each chocolate for $1 . however , if any [#permalink] New post   22 Oct 2019, 09:16
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jackfr2 wrote:
A shop sells each chocolate for $1 . however , if any purchaser returns three empty wrappers , he will get a free chocolate. If John has a total of $15 how many chocolate can he get at total ?

a. 15
b. 19
c. 20
d. 21
e. 22

Posted from my mobile device


Given:
1. A shop sells each chocolate for $1 .
2. however , if any purchaser returns three empty wrappers , he will get a free chocolate.

Asked: If John has a total of $15 how many chocolate can he get at total ?

He can get 15 chocolates for $15.
But he can exchange 15 wrappers (5 sets of 3 empty wrappers) to get 5 chocolates more
Further he can exchange 1 more set of 3 empty wrappers to get 1 more chocolate
Now he can exchange 1 more set of 3 empty wrappers to get 1 more chocolate.

Total chocolates = 15 + 5 + 1 + 1 = 22

IMO E
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Re: A shop sells each chocolate for $1 . however , if any [#permalink] New post   26 Oct 2019, 08:50
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jackfr2 wrote:
A shop sells each chocolate for $1 . however , if any purchaser returns three empty wrappers , he will get a free chocolate. If John has a total of $15 how many chocolate can he get at total ?

a. 15
b. 19
c. 20
d. 21
e. 22

Posted from my mobile device



John can buy 15 chocolates and return 15 wrappers for 5 more free chocolates. He can then return 3 of 5 extra wrappers to get 1 more chocolate. Finally, he can return the wrapper from this chocolate and the 2 extra wrappers he had earlier to get 1 last chocolate. Therefore, he can get a total of 15 + 5 + 1 + 1 = 22 chocolates.

Answer: E
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Re: A shop sells each chocolate for $1 . however , if any [#permalink] New post   13 Jul 2020, 12:30
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With $15 we get 15 chocolates

15 chocolates = 15 wrappers

With 15 wrappers we get 1 chocolate for 3 wrappers

Therefore with 15 wrappers, we get 15/3 = 5 chocolates

With 5 chocolates = 5 wrappers = 5/3 = 1 chocolate + 2 wrappers

From the one chocolate we get 1 wrapper and with the remaining 2 wrappers = 3 wrappers which gives 1 more chocolate

Total Chocolate = 15 + 5 + 1 + 1 = 22 chocolates

Option E

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Re: A shop sells each chocolate for $1 . however , if any [#permalink] New post   12 Oct 2022, 19:57
assume spend 15 dollars and get x number of chocolate,
then we get a equation x - x/3 =15
x=45/2= 22.5 ,
ignore the decimal part, so the answer should be 22.
To make a substitution to check the result.
22- 22/3 = 22- 7 = 15 , spend 15 dollar get 22 pieces of chocolate.
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Re: A shop sells each chocolate for $1 . however , if any [#permalink] New post   01 Jan 2024, 12:12
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Re: A shop sells each chocolate for $1 . however , if any [#permalink]
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