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Gina teaches arts and crafts to kids. She is handing out $p$ popsicle sticks to each kid, and there are $5$ kids in today's class. Gina will hand out $40$ popsicle sticks in all. $\newline$ Which diagram models the story? $\newline$ $\newline$ Which equation models the story? $\newline$ Choices: $\newline$ (A) $p/5 = 40$ $\newline$ (B) $5p = 40$

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Write two-variable inequalities: word problems

Full solution

Q. Gina teaches arts and crafts to kids. She is handing out

p

popsicle sticks to each kid, and there are

5

kids in today's class. Gina will hand out

40

popsicle sticks in all.

\newline

Which diagram models the story?

\newline

\newline

Which equation models the story?

\newline

Choices:

\newline

(A)

p/5 = 40

\newline

(B)

5p = 40

Calculate Total Sticks: Gina is handing out $p$ popsicle sticks to each of the $5$ kids. To find the total number of popsicle sticks handed out, we multiply the number of popsicle sticks per kid by the number of kids. Calculation: $p \times 5 = \text{Total popsicle sticks}.$
Set Up Equation: We know Gina hands out a total of $40$ popsicle sticks. So, setting up the equation from the previous step, we have $5p = 40$ .
Solve for $p$ : To find the value of $p$ , we solve the equation $5p = 40$ . We divide both sides by $5$ to isolate $p$ . Calculation: $p = \frac{40}{5} = 8$ .

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