Item 12 You are downloading songs to your MP3 player. The ratio of pop songs to rock songs is 5 : 4. You download 40 pop songs. How many rock songs do you download?

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MsRay

Answer:

32 rock songs

Step-by-step explanation:

Using a proportion, or equivalent ratios, we can assign a variable to the number of rock songs and use cross-multiplication and divide to solve:

[tex]\frac{pop}{rock}=\frac{5}{4}=\frac{40}{x}[/tex]

cross-multiply and divide:  

5x = 4(40) or 5x = 160: 5x/5 = 160/5 or x = 32 rock songs

Answer:

32 rock songs

Step-by-step explanation:

Using a proportion, or equivalent ratios, we can assign a variable to the number of rock songs and use cross-multiplication and divide to solve

pop/rock = 4/5 = 40/x

cross-multiply and divide:  

5x = 4(40) or 5x = 160: 5x/5 = 160/5 or x = 32 rock songs