Emmy goes through a 50-ounce jug of laundry detergent in 40 loads. At the store, she bought a jumbo jug of detergent. The jumbo jug contains 150 ounces of detergent.

Question

How many loads of laundry can Emmy do with the jumbo jug of laundry detergent?

Answer 1

To determine how many loads of laundry Emmy can do with the jumbo jug of detergent, we first need to find out how many ounces of detergent are needed for each load.

Emmy goes through a 50-ounce jug of detergent for 40 loads. We can calculate the amount of detergent used per load as follows:

\[ \text{Ounces per load} = \frac{\text{Total ounces}}{\text{Total loads}} = \frac{50 \text{ ounces}}{40 \text{ loads}} = 1.25 \text{ ounces per load} \]

Now, we need to find out how many loads can be done with the jumbo jug, which contains 150 ounces of detergent. We can calculate this by dividing the total ounces in the jumbo jug by the ounces used per load:

\[ \text{Number of loads} = \frac{\text{Total ounces in jumbo jug}}{\text{Ounces per load}} = \frac{150 \text{ ounces}}{1.25 \text{ ounces per load}} = 120 \text{ loads} \]

Therefore, Emmy can do 120 loads of laundry with the jumbo jug of laundry detergent.