The problem asks how many gallons of paint Becky should buy to paint the walls of her bedroom.

We are given:

• 1 gallon of paint covers 300 ft².
• The surface area Becky wants to paint is 70,560 in².

First, let's convert the surface area from square inches (in²) to square feet (ft²):

• There are $12 \times 12 = 144$ square inches in a square foot. So, to convert square inches to square feet: $\text{Area in ft²} = \frac{70,560 \, \text{in²}}{144} = 490 \, \text{ft²}$

Next, we calculate how many gallons of paint are needed. Since each gallon covers 300 ft², we divide the total area by the coverage of one gallon: $\text{Gallons of paint} = \frac{490 \, \text{ft²}}{300 \, \text{ft²/gallon}} \approx 1.63 \, \text{gallons}$

Since Becky can't buy a fraction of a gallon, she will need to round up and buy 2 gallons of paint.

Would you like more details or have any questions about this solution?

Here are 5 related questions to explore further:

1. What if Becky needed two coats of paint? How many gallons would she need then?
2. How much area will remain unpainted if Becky only buys 1 gallon?
3. If the paint store sells half-gallons, how many half-gallons should she buy instead?
4. How does the coverage change if the gallon of paint only covers 250 ft² instead of 300 ft²?
5. What if Becky wanted to paint the ceiling in addition to the walls?

Tip: When calculating with different units, always ensure they are properly converted before solving the problem.