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On her 20th birthday, Alice spent $240 to buy her favourite chocolates
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19 Apr 2023, 08:37
19 Apr 2023, 08:37
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On her 20th birthday, Alice spent $240 to buy her favourite chocolates and the price of each of the chocolate was $15. The price of the chocolate increased next year due to which Alice could buy one fewer chocolate on her 21st birthday. What is the price of each of the chocolate on her 21st birthday?
$16
$17
$18
$19
$20
$16
$17
$18
$19
$20
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Re: On her 20th birthday, Alice spent $240 to buy her favourite chocolates
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22 Apr 2023, 00:41
22 Apr 2023, 00:41
1
Expert Reply
Alice spent $240 on her 20th birthday to buy chocolates, and the price of each chocolate was $15. Therefore, the number of chocolates she bought on her 20th birthday was:
Number of chocolates = Total cost / Price of each chocolate = $240 / $15 = 16
On her 21st birthday, Alice could buy one fewer chocolate than the previous year, so she bought 15 chocolates. Let's assume the price of each chocolate on her 21st birthday was x dollars.
So, the total cost of 15 chocolates on her 21st birthday would be:
Total cost = 15x
We know that the total cost of chocolates was $240 on her 20th birthday. Since the price of each chocolate increased, the total cost of chocolates would have been:
Total cost = 16 × Price of each chocolate on 21st birthday
So, we can set up an equation using the above two equations and solve for x, which is the price of each chocolate on her 21st birthday:
16 × Price of each chocolate on 21st birthday = $240
Price of each chocolate on 21st birthday = $240 / 16 = $15
Since the price of each chocolate increased, the price of each chocolate on her 21st birthday would be $15 + $1 = $16.
Therefore, the answer is option (A) $16.
Number of chocolates = Total cost / Price of each chocolate = $240 / $15 = 16
On her 21st birthday, Alice could buy one fewer chocolate than the previous year, so she bought 15 chocolates. Let's assume the price of each chocolate on her 21st birthday was x dollars.
So, the total cost of 15 chocolates on her 21st birthday would be:
Total cost = 15x
We know that the total cost of chocolates was $240 on her 20th birthday. Since the price of each chocolate increased, the total cost of chocolates would have been:
Total cost = 16 × Price of each chocolate on 21st birthday
So, we can set up an equation using the above two equations and solve for x, which is the price of each chocolate on her 21st birthday:
16 × Price of each chocolate on 21st birthday = $240
Price of each chocolate on 21st birthday = $240 / 16 = $15
Since the price of each chocolate increased, the price of each chocolate on her 21st birthday would be $15 + $1 = $16.
Therefore, the answer is option (A) $16.
gmatclubot
Re: On her 20th birthday, Alice spent $240 to buy her favourite chocolates [#permalink]
22 Apr 2023, 00:41
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