Alvin, Brian and Charlie shared some comics among themselves. Alvin received (2/5) of them while Brian received (5/6) of what he and Charlie received altogether. If Alvin received 180 more comics than Charlie, how many comics did Brian receive?
can you set this up the way I did your previous post?
How far do you get?
Hi, sorry got your response late
I didn't get pretty far. I didn't understand how to apply the same formula to this question
5/6 - Brian (1 half from what BOTH Brian and Charlie received)
2/5 - Alvin
Alvin got 180 MORE comics than Charlie
To find Charlie's and Brian's amount of comics:
5/6 x 2 = 5/3
So BOTH Charlie's and Brian's amount of comics is 5/3
Alvin received 180 MORE than Charlie
so...
180 + 2/5 (since that was Alvin's ORIGINAL AMOUNT) = 902/5
902 divided by 5 = 180.4 (the amount Alvin has NOW)
180.4 + 5/3 (Charlie's amount) = 182.1
and since BOTH Charlie and Brian have the same amount of comics...
Brian received 182 (rounded from 182.1) comics
This is my understanding of this question
Please correct me if I'm wrong
To solve this problem, we need to break it down step by step.
Let's start by translating the given information into equations:
Let x be the total number of comics shared among Alvin, Brian, and Charlie.
According to the question, Alvin received 2/5 of the comics, which means he received (2/5) * x comics.
Brian and Charlie received the remaining comics, which is (1 - 2/5) * x = (3/5) * x comics.
Brian received 5/6 of what he and Charlie received altogether, which means he received (5/6) * (3/5) * x comics.
The problem also states that Alvin received 180 more comics than Charlie, so we can set up the equation:
(2/5) * x = (3/5) * x + 180
Now, let's solve this equation to find the value of x, which represents the total number of comics:
(2/5) * x - (3/5) * x = 180
(2/5 - 3/5) * x = 180
(-1/5) * x = 180
Multiplying both sides by -5:
x = 180 * (-5)
x = -900
Wait, we obtained a negative value for x, which doesn't make sense in this context. There might be an error or inconsistency in the given information or problem statement.
Please double-check the problem statement or provide more accurate details, and I will be happy to assist you further.