alexis and her little sister emma went to gold trust national bank. when they got there, alexis had three…

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 $100 to buy some new clothes and emma deposited $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?

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 $100 to buy some new clothes and emma deposited $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?

Answer

Explanation:

Step1: Let the amount of money Emma had initially be $x$.

Then Alexis had $3x$ initially.

Step2: Set up the equation based on the changes.

After the transactions, Alexis has $3x - 100$ and Emma has $x + 25$. Since they have the same amount, we set up the equation $3x-100=x + 25$.

Step3: Solve the equation for $x$.

Subtract $x$ from both sides: $3x-x-100=x - x+ 25$, which simplifies to $2x-100 = 25$. Add 100 to both sides: $2x-100 + 100=25 + 100$, getting $2x=125$. Divide both sides by 2: $x=\frac{125}{2}=62.5$.

Answer:

$62.5$