Question

Serge is at a grocery store shopping for hand soap. The store sells 9/8-ounce bars of Super Suds soap, 6/5 ounce bars of Sudsy Goodness soap, and 8/7 ounce bars of Bubblelicious soap. Each type of soap is sold in packs of 5. List the different brands of soap in order, from greatest to least, to show which pack weighs the most and which pack weighs the least.

a) Super Suds, Sudsy Goodness, Bubblelicious
b) Bubblelicious, Sudsy Goodness, Super Suds
c) Sudsy Goodness, Super Suds, Bubblelicious
d) Sudsy Goodness, Bubblelicious, Super Suds

Answer 1

The packs of soap are ranked from greatest to least by weight, based on multiplying the weight of a single bar by the number of bars in a pack. Sudsy Goodness weighs the most at 6 ounces, followed by Bubblelicious at approximately 5.714 ounces, and Super Suds with roughly 5.625 ounces. Answer choice (d) is the correct sequence from heaviest to lightest.

Step-by-step explanation:

To determine the order of the packs of soap from greatest to least by weight, we need to multiply the weight of one bar of soap by the number of bars in a pack, which is 5 for each type of soap. Serge has three choices: Super Suds soap at 9/8 ounces per bar, Sudsy Goodness soap at 6/5 ounces per bar, and Bubblelicious soap at 8/7 ounces per bar. Calculating the total weight for each pack:

• Super Suds: (9/8 ounces/bar) × 5 bars = 45/8 ounces
• Sudsy Goodness: (6/5 ounces/bar) × 5 bars = 30/5 ounces = 6 ounces
• Bubblelicious: (8/7 ounces/bar) × 5 bars = 40/7 ounces

Now, comparing the weights:

1. Sudsy Goodness: 6 ounces
2. Super Suds: 45/8 ounces ≈ 5.625 ounces
3. Bubblelicious: 40/7 ounces ≈ 5.714 ounces

From greatest to least, the order is Sudsy Goodness, Bubblelicious, Super Suds.

Therefore, the correct answer is (d) Sudsy Goodness, Bubblelicious, Super Suds.