Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice.

Question

Two Brands of Juice
Brand A
Brand B
12 ounces
8 ounces
$2.55
$1.45

She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Brand A costs approximately $0.18 per ounce, and Brand B costs approximately $0.21 per ounce.
Brand A costs approximately $0.12 per ounce, and Brand B costs approximately $0.15 per ounce.
Brand A costs approximately $0.15 per ounce, and Brand B costs approximately $0.12 per ounce.
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce.

Answer 1

To find the unit rate (cost per ounce) for each brand of juice, we need to divide the total cost of each brand by the number of ounces it provides.

For Brand A:

• Cost: $2.55
• Ounces: 12
• Unit rate = Cost / Ounces = \( \frac{2.55}{12} \approx 0.2125 \)

So when rounded to the nearest cent, Brand A costs approximately $0.21 per ounce.

For Brand B:

• Cost: $1.45
• Ounces: 8
• Unit rate = Cost / Ounces = \( \frac{1.45}{8} \approx 0.18125 \)

So when rounded to the nearest cent, Brand B costs approximately $0.18 per ounce.

Now, summarizing the unit rates:

• Brand A: $0.21 per ounce
• Brand B: $0.18 per ounce

The true statement based on the calculations is:

Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce.