Rudi, Sam and Ted 162 stickers altogether. Rudi gave 3/10 of his stickers to Sam and 1/4 of his stickers to Ted. After that, all 3 boys had the same number of stickers. Who had more stickers at first, Sam or Ted, and how many more?
Question
Rudi, Sam and Ted 162 stickers altogether. Rudi gave 3/10 of his stickers to Sam and 1/4 of his stickers to Ted. After that, all 3 boys had the same number of stickers. Who had more stickers at first, Sam or Ted, and how many more?
Solution
To solve this problem, we need to set up a few equations based on the information given.
Let's denote: R = the number of stickers Rudi had originally, S = the number of stickers Sam had originally, T = the number of stickers Ted had originally.
From the problem, we know that:
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R + S + T = 162 (the total number of stickers)
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After giving away his stickers, Rudi has the same number of stickers as Sam and Ted. This means that R - 3/10R - 1/4R = S + 3/10R = T + 1/4R.
Solving these equations, we get:
R = 90, S = 36, T = 36.
So, Sam and Ted had the same number of stickers at first.
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