To find out how many loads a regular-sized box of laundry detergent can wash, we first need to determine how many loads the family-sized box can wash.
We know:
- The family-sized box contains 45 cups of detergent.
- Each load uses 0.25 cups.
To calculate the number of loads that can be washed with the family-sized box, we divide the total cups of detergent by the amount used per load:
\[ \text{Loads with family-sized box} = \frac{45 \text{ cups}}{0.25 \text{ cups/load}} = 180 \text{ loads} \]
The family-sized box advertises that it can wash 20% more loads than the regular-sized box. Let \( x \) be the number of loads that the regular-sized box can wash. Therefore, we have:
\[ 180 = x + 0.20x \]
This simplifies to:
\[ 180 = 1.20x \]
Now, we solve for \( x \):
\[ x = \frac{180}{1.20} = 150 \]
Thus, the regular-sized box of detergent can wash 150 loads of laundry.
The answer is:
The regular-sized box of detergent can wash 150 loads of laundry.