To find out how many loads of laundry Emmy can do with the jumbo jug of laundry detergent, we first need to determine how much detergent she uses per load.
Emmy goes through a 50-ounce jug of detergent in 40 loads. We can calculate the amount of detergent used per load by dividing the total ounces of detergent by the number of loads:
\[ \text{Detergent per load} = \frac{50 \text{ ounces}}{40 \text{ loads}} = 1.25 \text{ ounces per load} \]
Now that we know Emmy uses 1.25 ounces of detergent per load, we can determine how many loads she can do with the jumbo jug, which contains 150 ounces of detergent:
\[ \text{Number of loads} = \frac{150 \text{ ounces}}{1.25 \text{ ounces per load}} \]
Calculating this gives:
\[ \text{Number of loads} = 150 \div 1.25 = 120 \]
Thus, Emmy can do 120 loads of laundry with the jumbo jug of laundry detergent.