High School

Ted and his friends are rolling out clay for art class.

- Ted rolled out his clay until it was 2 feet long.
- Noah rolled out his clay [tex]\frac{3}{5}[/tex] as long as Ted's clay.
- Jeannie rolled out her clay until it was [tex]1\frac{1}{2}[/tex] times as long as Ted's clay.
- Miles rolled out his clay [tex]\frac{5}{5}[/tex] as long as Ted's clay.

Without multiplying, whose clay is shorter than Ted's clay?

A. Noah
B. Jeannie
C. Miles

Answer :

Final answer:

Noah's clay is shorter than Ted's since he rolled out his clay ⅓ as long as Ted's. Jeannie's and Miles's are not shorter; Jeannie's is longer, and Miles's is the same length. Therefore, the correct answer is option A.

Explanation:

To determine whose clay is shorter than Ted's clay, we need to compare the lengths of the clay rolled out by each of Ted's friends to Ted's clay without multiplying.

  • Noah rolled out his clay ⅓ as long as Ted's, so his clay is shorter than Ted's.
  • Jeannie rolled out her clay 1½ times as long as Ted's, so her clay is longer than Ted's.
  • Miles rolled out his clay ⁵/₅ (which is equal to 1) as long as Ted's, so his clay is the same length as Ted's.

Therefore, the person whose clay is shorter than Ted's is A. Noah.