Question

hazel has 8 cousins. hazel has 2 times as many cousins as sawyer. how many cousins does sawyer have? let c stand for the number of cousins sawyer has. which bar model represents the problem?

Explanation:

Part 1: Solving for the number of cousins Sawyer has (using Step - by - Step Format)

Step 1: Define the relationship

We know that Hazel has 2 times as many cousins as Sawyer. Let \( c \) be the number of cousins Sawyer has. So the number of cousins Hazel has is \( 2\times c \), and we know Hazel has 8 cousins. So we can write the equation \( 2c = 8 \).

Step 2: Solve for \( c \)

To find \( c \), we divide both sides of the equation \( 2c=8 \) by 2. So \( c=\frac{8}{2}=4 \).

We know that Hazel has 8 cousins and Sawyer has \( c \) cousins, and Hazel has 2 times as many cousins as Sawyer. So the bar for Hazel should represent 8 (or \( 2c \)) and the bar for Sawyer should represent \( c \). Looking at the options:

• In the first option, Hazel is \( c \) and Sawyer is \( 2c \) with total 8, which is incorrect.
• In the second option, Sawyer is 8 and Hazel is \( 2\times8 = 16\) (represented as \( c \)), which is incorrect.
• In the third option, Sawyer is \( c \) and Hazel is \( 2c \) (represented as 8, since \( 2c = 8\)), which is correct.
• In the fourth option, Hazel is 8 and Sawyer is \( 2\times8=16\) (represented as \( c \)), which is incorrect.

Answer:

Sawyer has 4 cousins.

Part 2: Identifying the correct bar model