Question

Polly sells adorable barrettes and headbands for babies online. During her spring sale, she sold b barrettes and 45 headbands. Polly sold 80 items in all.
Which diagram models the story?
[————————b————————]
80.45
[————————80—————————]
B. 45
Which equation models the story?
B - 45 = 80 or b + 45 = 80 pick one

Answer 1

To solve the problem, let's break down the information given:

1. Polly sold \( b \) barrettes.
2. She sold 45 headbands.
3. The total number of items sold is 80.

From this information, we can set up an equation. The total items sold is the sum of barrettes and headbands:

\[
b + 45 = 80
\]

This means the correct equation to model the story is:

\[
b + 45 = 80
\]

For the diagram that models the story, it would typically represent the relationship between the number of barrettes sold, the number of headbands sold, and the total. The first option seems to indicate a separation between \( b \) (barrettes) and 45 (headbands) with the total of 80 on the far right. Without seeing the actual diagrams, a typical representation would visually show:

- The number of barrettes on one side (b),
- The number of headbands (45) on the other,
- And the total (80) combining both.

So, to summarize:
- The diagram likely represents the relationship \( [b] + [45] = [80] \).
- The equation that models the story is \( b + 45 = 80 \).