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Kendall made a Dance Mix playlist for her birthday party. She added $s$ songs from each of her $5$ favorite bands. In all, Kendall added $50$ songs to her Dance Mix playlist. $\newline$ Which diagram models the story? $\newline$ $\newline$ Which equation models the story? $\newline$ Choices: $\newline$ (A) $5s = 50$ $\newline$ (B) $\frac{s}{5} = 50$

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Evaluate two-variable equations: word problems

Full solution

Q. Kendall made a Dance Mix playlist for her birthday party. She added

s

songs from each of her

5

favorite bands. In all, Kendall added

50

songs to her Dance Mix playlist.

\newline

Which diagram models the story?

\newline

\newline

Which equation models the story?

\newline

Choices:

\newline

(A)

5s = 50

\newline

(B)

\frac{s}{5} = 50

Divide Total by Bands: Kendall added songs from each of her $5$ favorite bands to make a total of $50$ songs. To find out how many songs she added from each band, we need to divide the total number of songs by the number of bands. Calculation: $50 \div 5 = 10$ .
Check Equation $5s=50$ : Now, let's check if the equation $5s = 50$ models the story correctly. If $s$ represents the number of songs from each band, then $5s$ should give the total number of songs. Plugging in $s = 10$ , we get $5 \times 10 = 50$ , which matches the total number of songs Kendall added.
Test Equation $s/5=50$ : To confirm, let's test the other equation, $s/5 = 50$ . If we solve for $s$ , $s = 50 \times 5 = 250$ . This doesn't make sense because it suggests Kendall added $250$ songs, which is way more than the $50$ songs she actually added.

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