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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 by \( h \).

Leila's total money after working \( h \) hours is given by:

\[ \text{Leila's total} = 30 + 4h \]

Mark's total money after working \( h \) hours is given by:

\[ \text{Mark's total} = 5 + 5h \]

To find when they will have the same amount of money, we set these equations equal to each other:

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

Now, we'll solve for \( h \):

  1. Subtract \( 4h \) from both sides:

\[ 30 = 5 + h \]

  1. Subtract 5 from both sides:

\[ 30 - 5 = h \]

  1. Simplify:

\[ 25 = h \]

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

To confirm, we can calculate the total amount of money each will have after 25 hours:

  • For Leila: \[ 30 + 4(25) = 30 + 100 = 130 \]

  • For Mark: \[ 5 + 5(25) = 5 + 125 = 130 \]

Both have \( 130 \) dollars after 25 hours, confirming our solution is correct.