Jackson is comparison shopping for orange juice. He created a table to help him decide which package was the best deal.

Question

Orange Juice Cost by Package
Package
Cost
Cost per ounce
10 oz bottle
$1.99
$0.199
59 oz bottle
$3.33
$0.0564
89 oz bottle
$4.99
$0.0561
Case of 24
10 oz bottles
$34.99
$0.1458
64 oz carton
$3.60
$0.05625

Jackson claims that the order of the best deal to the worst deal (based on cost/oz) is 10 oz bottle, 89 oz bottle, 59 oz bottle, case of 24 10 oz bottles, and 64 oz carton. Which statement about Jackson’s claim is true?
Jackson is correct because he used the length of each decimal to compare the different costs. For example, 0.149 < 0.1457 < 0.05625.
Jackson is correct because he compared values in equal place values to compare only the decimals with the same length. For example, 0.0561 < 0.0564 < 0.05625.
Jackson is incorrect because he should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.
Jackson is incorrect because the case of 24 oz bottles is less per ounce than the 59 oz bottle and the 89 oz bottle. For example, 0.1457 < 0.0561 < 0.0564.

Answer 1

Let's analyze Jackson's claim regarding the cost per ounce of each package of orange juice to determine which statement is true.

Here's the comparison of the costs per ounce from the table:

1. 10 oz bottle: $0.199
2. 59 oz bottle: $0.0564
3. 89 oz bottle: $0.0561
4. Case of 24 (10 oz bottles): $0.1458
5. 64 oz carton: $0.05625

Now let's sort them from lowest cost per ounce (best deal) to highest cost per ounce (worst deal):

1. 89 oz bottle: $0.0561
2. 64 oz carton: $0.05625
3. 59 oz bottle: $0.0564
4. Case of 24 (10 oz bottles): $0.1458
5. 10 oz bottle: $0.199

Now we can evaluate Jackson's claim:

• Jackson’s order: 10 oz bottle, 89 oz bottle, 59 oz bottle, case of 24 10 oz bottles, and 64 oz carton.
• Correct order (from best to worst deal based on cost per ounce): 89 oz bottle, 64 oz carton, 59 oz bottle, case of 24 (10 oz bottles), and 10 oz bottle.

Conclusion: Jackson is incorrect because the case of 24 oz bottles has a higher cost per ounce than both the 89 oz bottle and the 64 oz carton.

The correct statement about Jackson's claim is: Jackson is incorrect because he should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.