To minimize their royal costs to $200, the number of Donovan songs to include is <u>15</u> and the number of Beatles songs to include is <u>5</u>.
<h3>What are ratios?</h3>
Ratios are numerical relationships between variables that show how much each variable is contained in another.
Ratios are stated in fractions, percentages, or decimals.
<h3>Data and Calculations:</h3>
Total songs to include in the song = 20
The ratio of Donovan and Beatles = 5:1.5
The number of Donovan songs to include = 15 (20/6.5 x 5)
The number of Beatles songs to include = 5 (20/6.5 x 1.5)
Royalty cost per Donovan song = $11
Royalty cost per Beatles song = $7
Total royalty costs for Donovan and Beatles song = $200 ($11 x 15 + $7 x 5)
Thus, the number of Donovan songs to include is <u>15</u> and the number of Beatles songs to include is <u>5</u>.
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<h3>Question Completion:</h3>
Aji and Sunshine want to make a CD of songs from the 1960s to donate to their school library to be broadcast during school picnics. Sunshine's parents were big fans of the 60s singer Donovan, and they named her after his song "Sunshine Superman." Aji's folks were devotees of the Beatles. Aji and Sunshine want their CD to consist entirely of songs by Donovan and the Beatles. Because Sunshine is named after a Donovan song, she wants to include at least as many Donovan songs as Beatles songs. Aji agrees. In return, Sunshine agrees to include at least five Beatles songs. 5 1.5 To provide enough variety to make the mix interesting, they decide to include at least 20 songs altogether.