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Re: Jacob purchased 7 chocolates, price of each of these 7 chocolates is a [#permalink]
Cheapest price Chocolate : x
Most expensive chocolate: 4x+4

Since the Median price of the chocolate is 20,

Considering we have DISTINCT price for each bar of chocolate,
we have a set of prices like so: { x, x+1, x+2, 20, 21, 22, 4x+4}

Because we want to have the maximum price, the numbers between the median and the maximum price has to be close to each other, and since the problem states that the prices are in integers, so, closest two numbers to 20 are 21 & 22.

Since the total is 105 cents, subtract 20,21, and 22 first, resulting 42.

Remaining numbers, x, x+1, x+2, 4x+4 are then solved

42 = 7x+7
x = 5
> Plug 5 back to 4x+4 and we get 24.

Answer is C
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Re: Jacob purchased 7 chocolates, price of each of these 7 chocolates is a [#permalink]
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Re: Jacob purchased 7 chocolates, price of each of these 7 chocolates is a [#permalink]
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