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two friends have a conversation mario tells roberto “the money i have is twice that you have” roberto answer “if you give me 6 dollars will
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two friends have a conversation mario tells roberto “the money i have is twice that you have” roberto answer “if you give me 6 dollars will we both have the same amount” how much money have each of them?
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Mathematics
3 years
2021-09-05T13:56:48+00:00
2021-09-05T13:56:48+00:00 1 Answers
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Answer:
Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.
Step-by-step explanation:
Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.
M = 2R
M – 6 = R + 6
To isolate M, you need to add 6 on both sides.
M – 6 + 6 = R + 6 + 6
M = R + 12
M = 2R
Substitute M for the value above that we found.
R + 12 = 2R
Now we subtract R on both sides, so that only one side has the variable R.
R – R + 12 = 2R – R
12 = R
M = 2R
Substitute for the value of R.
M = 2 x 12
M = 24