Alejandro currently has \( \$ 116.20 \) and he earns \( \$ 39.10 \) every month from tutoring. Alexia currently has \( \$ 348.60 \) and she is paying for a music subscription that costs \( \$ 19 \) each rionth. Enter the number of months both will have the same amount of money.

To find out when Alejandro and Alexia will have the same amount of money, we can set up equations based on their current amounts and monthly earnings or expenses. - Alejandro's amount after \( m \) months: \[ 116.20 + 39.10m \] - Alexia's amount after \( m \) months (subtracting the subscription cost): \[ 348.60 - 19m \] Setting these two equations equal to each other gives us: \[ 116.20 + 39.10m = 348.60 - 19m \] Now, let's solve for \( m \): 1. Combine like terms: \[ 39.10m + 19m = 348.60 - 116.20 \] \[ 58.10m = 232.40 \] 2. Divide both sides by 58.10: \[ m = \frac{232.40}{58.10} \] \[ m \approx 4 \] So, they will have the same amount of money in approximately 4 months.