Final answer:
The balance in Emiyo's bank account after she withdrew 52 yen will be her original balance minus 52 yen. We do not know the exact starting balance, so we express the new balance as X - 52 yen, where X represents the original balance before the withdrawal.
Step-by-step explanation:
The subject of this question is Mathematics, and it is appropriate for a Middle School student. To determine the current balance in Emiyo's bank account, we need to learn what happens after Emiyo withdrew 52 yen and Aiya made a deposit of 38 yen assuming they both started with the same amount.
Let's start with an example. Suppose both Emiyo and Aiya have 100 yen each in their bank accounts. Emiyo withdrew 52 yen, which means her account balance would decrease by that amount. To find out her new balance, we perform the subtraction: 100 yen - 52 yen = 48 yen. This means Emiyo would have 48 yen left in her bank account after the withdrawal.
Aiya, on the other hand, deposited 38 yen into her account. If she had started with the same amount as Emiyo, which in our example is 100 yen, her new balance would be increased by the deposit amount: 100 yen + 38 yen = 138 yen.
However, to answer the original question, we do not need Aiya's new balance, as it's Emiyo's balance that we are asked about. Therefore, Emiyo's current balance would simply be her starting amount minus the 52 yen she withdrew. So, if Emiyo and Aiya both started with a balance of X yen, then after the transactions, Emiyo's new balance would be X - 52 yen.