Shelley, the owner of the Bayside Bed and Breakfast, needs to order enough orange juice for the coming week. She plans to pour 32 one-cup servings every day for 7 straight days, and her preferred juice is sold in one-gallon jugs. Shelley uses this chart, which hangs on the side of her refrigerator, to figure out how much juice to order.

Question

Kitchen conversions
2cups=1pint
2pints=1quart
4quarts=1gallon
How many jugs of orange juice should Shelley order?

Answer 1

To determine how many jugs of orange juice Shelley should order, we start by calculating the total amount of juice she needs for the week.

1. Calculate Daily Servings:

   • Shelley plans to pour 32 one-cup servings each day.

2. Calculate Total Servings for the Week:

   • For 7 days, the total number of servings is: \[ 32 \text{ servings/day} \times 7 \text{ days} = 224 \text{ servings} \]

3. Convert Servings to Cups:

   • Since each serving is 1 cup, Shelley needs 224 cups of orange juice.

4. Convert Cups to Gallons:

   • To convert cups to gallons, we use the conversions given in the chart.

   • First, we convert cups to pints: \[ 224 \text{ cups} = \frac{224 \text{ cups}}{2} = 112 \text{ pints} \]

   • Next, convert pints to quarts: \[ 112 \text{ pints} = \frac{112 \text{ pints}}{2} = 56 \text{ quarts} \]

   • Finally, convert quarts to gallons: \[ 56 \text{ quarts} = \frac{56 \text{ quarts}}{4} = 14 \text{ gallons} \]

5. Final Calculation:

   • Shelley needs a total of 14 gallons of orange juice.

Since each jug is 1 gallon, Shelley should order 14 jugs of orange juice.