A certain shampoo is available in two sizes. A 23.7 -ounce bottle costs 4.97 . A 33.8 -ounce bottle costs 7.48 .

Question

Find the unit price for each size. Then state which size is the better buy based on the unit price

Round your answers to the nearest cent.

Unit price for the 23.7 -ounce bottle: $per ounce

Unit price for the 33.8 -ounce bottle: $per ounce
The better buy:

The -ounce bottle

The -ounce bottle

Neither (They have the same unit price)

Answer 1

To find the unit price for each size of shampoo, you divide the cost of each bottle by its size in ounces.

1. For the 23.7-ounce bottle:

   • Cost: $4.97
   • Size: 23.7 ounces
   • Unit price = Cost / Size = $4.97 / 23.7 = $0.2093 per ounce
   • Rounded to the nearest cent: $0.21 per ounce

2. For the 33.8-ounce bottle:

   • Cost: $7.48
   • Size: 33.8 ounces
   • Unit price = Cost / Size = $7.48 / 33.8 = $0.2213 per ounce
   • Rounded to the nearest cent: $0.22 per ounce

Now we can compare the unit prices:

• Unit price for the 23.7-ounce bottle: $0.21 per ounce
• Unit price for the 33.8-ounce bottle: $0.22 per ounce

The better buy: Since $0.21 < $0.22, the better buy is the 23.7-ounce bottle.