In March, Isaiah and Freddie had the same amount of money in their savings accounts. In April, Isaiah deposited $210 into his account. Freddie increased the money in his account by 15%. When they compared their balances, they found that they were still equal.

Question

How much money did they both have in their accounts in March?

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Answer 1

Let \( x \) be the amount of money both Isaiah and Freddie had in their savings accounts in March.

In April, Isaiah's balance became: \[ x + 210 \]

Freddie increased his balance by 15%, so his new balance became: \[ x + 0.15x = 1.15x \]

We know from the problem that after their respective transactions, their balances were still equal: \[ x + 210 = 1.15x \]

To solve for \( x \), we start by subtracting \( x \) from both sides: \[ 210 = 1.15x - x \] This simplifies to: \[ 210 = 0.15x \]

Now, to find \( x \), divide both sides by 0.15: \[ x = \frac{210}{0.15} \]

Calculating the division gives: \[ x = 1400 \]

Thus, the amount of money both Isaiah and Freddie had in their accounts in March was: \[ \boxed{1400} \]