Which is the better buy?

Question

6-quart of laundry detergent for $9.12
11-pint of laundry detergent for $7.70

Answer 1

To determine which is the better buy, we need to convert the quantities to the same unit and calculate the price per unit.

1. 6-quart detergent for $9.12:

   • There are 4 quarts in a gallon, so 6 quarts is 1.5 gallons.
   • The price per gallon is: \[ \text{Price per gallon} = \frac{9.12}{1.5} = 6.08 \text{ per gallon} \]

2. 11-pint detergent for $7.70:

   • There are 8 pints in a gallon, so 11 pints is \( \frac{11}{8} = 1.375 \) gallons.
   • The price per gallon is: \[ \text{Price per gallon} = \frac{7.70}{1.375} \approx 5.60 \text{ per gallon} \]

Now we can compare the two prices per gallon:

• 6-quart option: $6.08 per gallon
• 11-pint option: $5.60 per gallon

Conclusion: The 11-pint laundry detergent for $7.70 is the better buy, as it offers a lower price per gallon.