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Students collected aluminum cans, measured in pounds, for a recycling contest. Omar collected 2 1/4 pounds, Jessica collected 2 1/8 pounds, Hailey collected 2 1/2 pounds, Christian collected 1 7/10 pounds, and Diego collected 1 4/5 pounds. Place the orders from least to greatest.

a) Diego, Christian, Jessica, Omar, Hailey
b) Jessica, Christian, Hailey, Omar, Diego
c) Christian, Diego, Jessica, Hailey, Omar
d) Diego, Christian, Hailey, Jessica, Omar

1 Answer

5 votes

Final answer:

To place the amounts of aluminum cans collected by students in order from least to greatest, convert the mixed numbers to improper fractions or decimals, then order them accordingly. The correct sequence is: Christian, Diego, Jessica, Omar, Hailey.

Step-by-step explanation:

The question asks us to order the amounts of aluminum cans collected by students from least to greatest. First, we convert any mixed numbers to improper fractions to compare the amounts easily:

  • Diego: 1 4/5 pounds = 9/5 pounds
  • Christian: 1 7/10 pounds = 17/10 pounds
  • Jessica: 2 1/8 pounds = 17/8 pounds
  • Omar: 2 1/4 pounds = 9/4 pounds
  • Hailey: 2 1/2 pounds = 5/2 pounds

Converting each to decimal form:

  • Diego: 1.8 pounds
  • Christian: 1.7 pounds
  • Jessica: 2.125 pounds
  • Omar: 2.25 pounds
  • Hailey: 2.5 pounds

Now, we can place the orders from least to greatest:

  1. Christian (1.7 pounds)
  2. Diego (1.8 pounds)
  3. Jessica (2.125 pounds)
  4. Omar (2.25 pounds)
  5. Hailey (2.5 pounds)

Therefore, the correct order from least to greatest is: Christian, Diego, Jessica, Omar, Hailey. The correct answer is option (c).

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