Final answer:
To find the amount of money in Makhail's account when the balance is down to 35% of the balance he had when he opened the account, we need to determine the original balance. By setting up and solving an equation, we find that the original balance is $9,000. We can then calculate that there will be $3,150 in Makhail's account when the balance is down to 35%.
Step-by-step explanation:
To solve this problem, we need to find the original balance of Makhail's bank account. Let's call this amount 'x'. We are given that $5,400 is 60% of the original balance, so we can set up the equation:
5,400 = 0.6x
To find x, we divide both sides of the equation by 0.6:
x = 5,400 ÷ 0.6 = 9,000
Now that we know the original balance, we can find the amount of money that will be in his account when the balance is down to 35% of the original balance. Using the same approach, we can set up the equation:
Amount = 0.35 * 9,000 = $3,150
Therefore, when the balance is down to 35% of the original balance, there will be $3,150 in Makhail's account.