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 to buy some new clothes and Emma deposited 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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How much money did Emma have in her account when she and Alexis got to the bank?

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Best Answer

Let’s call the amount of money in Emma’s account before any transactions .

According to the problem, Alexis had three times as much money in her account as Emma, so Alexis had dollars in her account before any transactions.

After Alexis withdrew and Emma deposited , their accounts were equal.

So, we can write the equation:

According to the problem, Alexis had three times as much money in her account as Emma, so Alexis had

After Alexis withdrew

So, we can write the equation:

Simplifying this equation, we get:

Therefore, Emma had 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 . According to the problem, Alexis had three times as much money in her account as Emma, so Alexis had dollars in her account before any transactions.

After Alexis withdrew and Emma deposited , their accounts were equal. So, we can write the equation:

Step-by-step solution:

Let’s call the amount of money in Emma’s account before any transactions

After Alexis withdrew

Simplifying this equation, we get:

Therefore, Emma had:

in her account when she and Alexis got to the bank.