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javzprobz
- Junior | Next Rank: 30 Posts
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Hi everyone,
This is question 60 from OG 13 in the problem solving section.
On a certain day, orangeade was made by mixing a certain amount of of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?
A)$0.15 B)$0.20 C)$0.30 D)$0.40 E)$0.45
OA: D
OK, I don't get the logic of this question and the solution that OG and everyone else give. OG and everyone else are like: "OK, so the ratio amount of orangeade made on the first day to amount of orangeade made on the second day is 2:3."
OK, till this part it's correct that the ratio is 2:3, but then they all go on to say: " Thus, the ratio of the number of glasses of orangeade made and sold on the first day to the number of glasses of orangeade made and sold on the second day is 2:3..."
You see, this is the part that I don't get it. You know, I thought about this problem a couple of days and was like : "OK, let me get the logic behind this question. I don't wanna post this easy question on BTG...". My question is that, OK, the ratio of the amount of orangeade made on the first day as opposed to that of the second day is 2:3, but what does this have to do with the number of glasses made and sold on the first and second day?!
Well, if the question was like: " On the second day, orangeade was made by mixing one part orange juice and two parts water...", we were like, OK, orangeade made on the second day is more watery, so customers should be charged less since they're drinking less of orange juice as opposed to yesterday. However, in the question it says: " On the second day, orangeade was made by mixing the same amount of orange juice with twice the amount of water."
Isn't it against your logic? Let's say you make some ice creams one day and sell them for $2 each, the very next day you decide to put a slice of banana beside every ice cream that you sell...wouldn't you charge your customers more than that $2 or at least exactly $2(giving that slice of banana as free)? or would you even lower your price, though you are giving something extra with what you gave yesterday?!!!
I hope my question wouldn't be that dumb, and sorry for this novel that I wrote, I HAD TO give all these explanations to say what is that I don't get it.
Thank you in advance.
This is question 60 from OG 13 in the problem solving section.
On a certain day, orangeade was made by mixing a certain amount of of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?
A)$0.15 B)$0.20 C)$0.30 D)$0.40 E)$0.45
OA: D
OK, I don't get the logic of this question and the solution that OG and everyone else give. OG and everyone else are like: "OK, so the ratio amount of orangeade made on the first day to amount of orangeade made on the second day is 2:3."
OK, till this part it's correct that the ratio is 2:3, but then they all go on to say: " Thus, the ratio of the number of glasses of orangeade made and sold on the first day to the number of glasses of orangeade made and sold on the second day is 2:3..."
You see, this is the part that I don't get it. You know, I thought about this problem a couple of days and was like : "OK, let me get the logic behind this question. I don't wanna post this easy question on BTG...". My question is that, OK, the ratio of the amount of orangeade made on the first day as opposed to that of the second day is 2:3, but what does this have to do with the number of glasses made and sold on the first and second day?!
Well, if the question was like: " On the second day, orangeade was made by mixing one part orange juice and two parts water...", we were like, OK, orangeade made on the second day is more watery, so customers should be charged less since they're drinking less of orange juice as opposed to yesterday. However, in the question it says: " On the second day, orangeade was made by mixing the same amount of orange juice with twice the amount of water."
Isn't it against your logic? Let's say you make some ice creams one day and sell them for $2 each, the very next day you decide to put a slice of banana beside every ice cream that you sell...wouldn't you charge your customers more than that $2 or at least exactly $2(giving that slice of banana as free)? or would you even lower your price, though you are giving something extra with what you gave yesterday?!!!
I hope my question wouldn't be that dumb, and sorry for this novel that I wrote, I HAD TO give all these explanations to say what is that I don't get it.
Thank you in advance.
....and after all, it's such a simple question. I don't know why I was trying to sophisticate the problem and came here and asked those stupid embarrassing questions that have nothing to do with this easy question at all 
