A 60 ounce glass bottle of juice sells for $4.20 while a 1.5 liter of the same juice sells in a plastic bottle for $3.06. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces)

Question

a.
The juice in the glass bottle is 1 cent cheaper per ounce.
b.
The juice in the plastic bottle is 1 cent cheaper per ounce.
c.
The juice in the glass bottle is 10 cents cheaper per ounce.
d.
The juice in the plastic bottle is 10 cents cheaper per ounce.

Answer 1

To compare the unit prices of the juice in the two containers, we first need to convert everything to the same unit. We'll convert the 1.5 liters in the plastic bottle to ounces.

1. Convert liters to ounces: \[ 1.5 \text{ liters} \times 34 \text{ ounces per liter} = 51 \text{ ounces} \]

2. Calculate unit price for the glass bottle:

   • Price: $4.20
   • Volume: 60 ounces \[ \text{Unit price (glass bottle)} = \frac{4.20}{60} = 0.07 \text{ dollars per ounce} = 7 \text{ cents per ounce} \]

3. Calculate unit price for the plastic bottle:

   • Price: $3.06
   • Volume: 51 ounces \[ \text{Unit price (plastic bottle)} = \frac{3.06}{51} \approx 0.06 \text{ dollars per ounce} \approx 6 \text{ cents per ounce} \]

4. Comparison of unit prices:

   • Glass bottle: 7 cents per ounce
   • Plastic bottle: 6 cents per ounce

5. Determine which is cheaper:

   • The juice in the plastic bottle is 1 cent cheaper per ounce than the juice in the glass bottle.

Hence, the answer is: b. The juice in the plastic bottle is 1 cent cheaper per ounce.