Students in Drama, Choir, and Art club are in the ratio 3 : 4 : 5. The Art club has 12 more students than the Drama club. After 6 students move from Choir to Drama, what is the new ratio of Drama students to Choir students in simplest form?
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Worked Solution
Step 1: Ratio Drama : Choir : Art = 3 : 4 : 5. Let Drama = 3k, Choir = 4k, Art = 5k.
Step 2: Art − Drama = 5k − 3k = 2k = 12 → k = 6.
Step 3: Drama = 18, Choir = 24, Art = 30.
Step 4: 6 students move from Choir to Drama: Drama = 18 + 6 = 24, Choir = 24 − 6 = 18.
Step 5: New ratio Drama : Choir = 24 : 18 = 4 : 3.
Correct answer: 4 : 3
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