$$ 4

Question

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

UpStudy AI · Accepted Answer

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.
It will take 68 weeks for the laundromat costs to equal the cost of a new washer and dryer.

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