Leila makes $4 per hour and has $30 in her savings account. Mark makes $5 an hour and has $5 in his savings account.

After how many hours will they have the same amount of money?

1 answer

Let's denote the number of hours worked as \( h \).

Leila's total amount of money after working \( h \) hours can be calculated as follows:

\[ \text{Leila's total amount} = \text{initial savings} + \text{earnings} = 30 + 4h \]

Mark's total amount of money after working \( h \) hours can be calculated as:

\[ \text{Mark's total amount} = \text{initial savings} + \text{earnings} = 5 + 5h \]

We want to find the value of \( h \) when their total amounts are equal:

\[ 30 + 4h = 5 + 5h \]

To solve for \( h \), we first subtract \( 4h \) from both sides:

\[ 30 = 5 + h \]

Next, we subtract 5 from both sides:

\[ 30 - 5 = h \] \[ 25 = h \]

Therefore, after 25 hours, Leila and Mark will have the same amount of money.