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Kendall made a Dance Mix playlist for her birthday party. She added ss songs from each of her 55 favorite bands. In all, Kendall added 5050 songs to her Dance Mix playlist.\newlineWhich diagram models the story?\newline\newlineWhich equation models the story?\newlineChoices:\newline(A) 5s=505s = 50\newline(B) s5=50\frac{s}{5} = 50

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Q. Kendall made a Dance Mix playlist for her birthday party. She added ss songs from each of her 55 favorite bands. In all, Kendall added 5050 songs to her Dance Mix playlist.\newlineWhich diagram models the story?\newline\newlineWhich equation models the story?\newlineChoices:\newline(A) 5s=505s = 50\newline(B) s5=50\frac{s}{5} = 50
  1. Divide Total by Bands: Kendall added songs from each of her 55 favorite bands to make a total of 5050 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÷5=1050 \div 5 = 10.
  2. Check Equation 5s=505s=50: Now, let's check if the equation 5s=505s = 50 models the story correctly. If ss represents the number of songs from each band, then 5s5s should give the total number of songs. Plugging in s=10s = 10, we get 5×10=505 \times 10 = 50, which matches the total number of songs Kendall added.
  3. Test Equation s/5=50s/5=50: To confirm, let's test the other equation, s/5=50s/5 = 50. If we solve for ss, s=50×5=250s = 50 \times 5 = 250. This doesn't make sense because it suggests Kendall added 250250 songs, which is way more than the 5050 songs she actually added.

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