Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent. The lid on Scott’s container can hold 3 fluid ounces of detergent, while the lid on Nikki’s container can hold 4 fluid ounces of detergent. How many more lids full of detergent does Scott have than Nikki?

10 lids
16 lids
48 lids
64 lids

1 answer

To determine how many more lids full of detergent Scott has than Nikki, we first need to convert their containers from gallons to fluid ounces.

  1. There are 128 fluid ounces in a gallon, so we can calculate the total fluid ounces in each container: \[ 1.5 \text{ gallons} = 1.5 \times 128 \text{ fluid ounces} = 192 \text{ fluid ounces} \]

  2. Next, we find out how many lids of detergent each container can fill.

    • For Scott, since his lid holds 3 fluid ounces: \[ \text{Number of lids for Scott} = \frac{192 \text{ fluid ounces}}{3 \text{ fluid ounces/lid}} = 64 \text{ lids} \]
    • For Nikki, since her lid holds 4 fluid ounces: \[ \text{Number of lids for Nikki} = \frac{192 \text{ fluid ounces}}{4 \text{ fluid ounces/lid}} = 48 \text{ lids} \]
  3. Now, we calculate the difference between the number of lids Scott has and the number of lids Nikki has: \[ \text{Difference} = 64 \text{ lids (Scott)} - 48 \text{ lids (Nikki)} = 16 \text{ lids} \]

Thus, Scott has 16 more lids full of detergent than Nikki.

The answer is \( \boxed{16} \).