Trashia currently has \( \$ 83.40 \) and she earns \( \$ 28.70 \) every month from tutoring. Dak currently has \( \$ 458.70 \) and he is paying for a music subscription that costs \( \$ 13 \) each month. Enter the number of months both will have the same amount of money.

Let's determine how many months it will take for Trashia and Dak to have the same amount of money. First, we can express the amount of money Trashia and Dak have after \( m \) months. - Trashia's money after \( m \) months: \[ 83.40 + 28.70m \] - Dak's money after \( m \) months: \[ 458.70 - 13m \] Now, we set these two expressions equal to find when they will have the same amount of money: \[ 83.40 + 28.70m = 458.70 - 13m \] Now, let's solve for \( m \): 1. Combine like terms: \[ 28.70m + 13m = 458.70 - 83.40 \] \[ 41.70m = 375.30 \] 2. Divide both sides by \( 41.70 \): \[ m = \frac{375.30}{41.70} \approx 9 \] So, after approximately **9 months**, both Trashia and Dak will have the same amount of money.