Question
Mathematics
Alexis and her little sister Emma went to Gold Trust National Bank. When they got there, Alexis had three times as much money in her account as Emma. After Alexis withdrew $\mathrm{}100$$100 to buy some new clothes and Emma deposited $\mathrm{}25$$25 that she got for her birthday, they had the same amount in their accounts.
How much money did Emma have in her account when she and Alexis got to the bank?
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Let’s call the amount of money in Emma’s account before any transactions $x$x.
According to the problem, Alexis had three times as much money in her account as Emma, so Alexis had $3x$3x dollars in her account before any transactions.
After Alexis withdrew $\mathrm{}100$$100 and Emma deposited $\mathrm{}25$$25, their accounts were equal.
$3x-100=x+25$3x-100=x+25
$2x=125$2x=125
Therefore, Emma had $\overline{)\mathrm{}62.50}$$62.50 in her account when she and Alexis got to the bank. Step-by-step solution: Let’s call the amount of money in Emma’s account before any transactions $x$x. According to the problem, Alexis had three times as much money in her account as Emma, so Alexis had $3x$3x dollars in her account before any transactions. After Alexis withdrew $\mathrm{}100$$100 and Emma deposited $\mathrm{}25$$25, their accounts were equal. So, we can write the equation: $3x-100=x+25$3x-100=x+25 Simplifying this equation, we get: $2x=125$2x=125 Therefore, Emma had: $x=\frac{125}{2}=\overline{)\mathrm{}62.50}$x=(125)/(2)=$62.50