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Craig makes bottles of bubble bath and scented soap bars. He sells them at his local farmers' market. On Saturday, he sold $b$ bottles of bubble bath and $25$ soap bars. Craig sold $38$ items in all. $\newline$ Which diagram models the story? $\newline$ $\newline$ Which equation models the story? $\newline$ $\newline$ Choices: $\newline$ (A) $b + 25 = 38$ $\newline$ (B) $b - 25 = 38$

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Evaluate two-variable equations: word problems

Full solution

Q. Craig makes bottles of bubble bath and scented soap bars. He sells them at his local farmers' market. On Saturday, he sold

b

bottles of bubble bath and

25

soap bars. Craig sold

38

items in all.

\newline

Which diagram models the story?

\newline

\newline

Which equation models the story?

\newline

\newline

Choices:

\newline

(A)

b + 25 = 38

\newline

(B)

b - 25 = 38

Combine bottle and soap sales: Craig sold $b$ bottles of bubble bath and $25$ soap bars, totaling $38$ items sold. To find the equation that represents this situation, we add the number of bottles sold to the number of soap bars sold and set this equal to the total number of items sold.
Check equation with example: To check if this equation is correct, assume $b$ is $13$ (as an example). Plugging in $b = 13$ , we get $13 + 25 = 38$ , which is true. This confirms our equation is correct.

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