Question

Chloe and Jess each made brownies with the same size pans. Chloe's family ate one out of three of her pan, and Jess's family ate two out of nine of her pans. Which of the following models correctly represents the fractions each family ate?

a) Model: [ ] Chloe's family ate 1/3 of her pan, [ ] Jess's family ate 2/9 of her pan.
b) Model: [ ] Chloe's family ate 2/3 of her pan, [ ] Jess's family ate 7/9 of her pan.
c) Model: [ ] Chloe's family ate 1/3 of her pan, [ ] Jess's family ate 1/9 of her pan.
d) Model: [ ] Chloe's family ate 3/3 of her pan, [ ] Jess's family ate 9/9 of her pan.

Answer 1

The correct model that represents the fractions of brownies eaten by Chloe's and Jess's families is model a), where Chloe's family ate 1/3 of her pan and Jess's family ate 2/9 of her pan.

Step-by-step explanation:

The question asks us to determine which model correctly represents the fractions of brownies eaten by Chloe's and Jess's families. Chloe's family ate one out of three (1/3) of her pan, and Jess's family ate two out of nine (2/9) of her pan. To answer this, we compare each model with the given information.

• Model a) states Chloe's family ate 1/3 of her pan, and Jess's family ate 2/9 of her pan. This correctly reflects the given fractions.
• Model b) states Chloe's family ate 2/3 of her pan, and Jess's family ate 7/9 of her pan, which does not match the initial statement.
• Model c) states Chloe's family ate 1/3 of her pan, and Jess's family ate 1/9 of her pan. This also does not match the initial statement as Jess's family ate 2/9 of the pan.
• Model d) states Chloe's family ate 3/3 of her pan, and Jess's family ate 9/9 of her pan, implying both pans were completely eaten, which is incorrect.

Only model a) correctly matches the fractions eaten by each family. Therefore, the correct answer is model a).