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

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.

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

Answer 1

Let's say the amount they both had in March is x.

In April, Isaiah's account increased to x + $210.
Freddie increased his account with 15/100*x = x/20.
The total amount Freddie had in his account in April is x + x/20 = 21x/20
To compare their balances, we equate the amounts: x + $210 = 21x/20
Multiplying both sides by 20: 20x + $4200 = 21x
Subtracting 20x on both sides: $4200 = x. Answer: \boxed{4200}.

Answer 2

Let's assume the amount of money Isaiah and Freddie had in their accounts in March was X dollars.

According to the given information, Isaiah deposited $210 into his account in April, so his balance in April became X + $210.

Freddie increased the money in his account by 15% in April. We can calculate his new balance in April by adding 15% of his March balance to the March balance:
Freddie's balance in April = X + 0.15X = 1.15X

Since they found that their balances were still equal in April, we can equate Isaiah's balance to Freddie's balance:
X + $210 = 1.15X

To solve this equation, we subtract X from both sides:
$210 = 0.15X

Next, we divide both sides by 0.15 to solve for X:
X = $210 / 0.15

Calculating the value, we find:
X = $1400

Therefore, Isaiah and Freddie both had $1400 in their accounts in March.

Answer 3

To solve this problem, let's use algebra to represent the amounts of money each person had in their accounts in March.

Let's say the amount of money both Isaiah and Freddie had in their accounts in March was 'x.'

In April, Isaiah deposited $210 into his account, so his balance became x + $210.

Freddie increased the money in his account by 15%, which means his balance became x + 0.15x (15% of x) = 1.15x.

Since they compared their balances in April and found that they were still equal, we can set up an equation:

x + $210 = 1.15x

To solve for x, we can subtract x from both sides of the equation:

$210 = 0.15x

To isolate x, divide both sides by 0.15:

$210 / 0.15 = x

x ≈ $1400

Therefore, both Isaiah and Freddie had approximately $1400 in their savings accounts in March.