\( 4<\begin{array}{l}\text { Roberto and Maria Santanos spend approximately } \$ 10.75 \text { per week to wash and dry their family's clothes at a local coin laundry. A new washer and dryer would cost them a total of } \$ 731 \text {. How many weeks will it } \\ \text { take for the laundromat cost to equal the cost of a new washer and dryer? }\end{array} \)

To determine how many weeks it will take for Roberto and Maria Santanos' laundromat costs to equal the cost of a new washer and dryer, we can set up the following equation: \[ \text{Total Laundromat Cost} = \text{Cost per Week} \times \text{Number of Weeks} \] Given: - **Cost per Week**: \$10.75 - **Total Cost of New Washer and Dryer**: \$731 Let \( w \) represent the number of weeks needed for the costs to equal out. The equation becomes: \[ 10.75 \times w = 731 \] To solve for \( w \), divide both sides of the equation by 10.75: \[ w = \frac{731}{10.75} \] \[ w = 68 \text{ weeks} \] **Conclusion:** It will take **68 weeks** for the total cost of using the laundromat to equal the cost of purchasing a new washer and dryer.