SOLUTION: Sara and Geena can both do flips in the air. The ratio of the number of flips Sara can do to the number of flips Geena can do is 3:8. Geena can do 120 more flips than Sara. If Sara

Algebra ->  Finance -> SOLUTION: Sara and Geena can both do flips in the air. The ratio of the number of flips Sara can do to the number of flips Geena can do is 3:8. Geena can do 120 more flips than Sara. If Sara      Log On


   

Question 1036268: Sara and Geena can both do flips in the air. The ratio of the number of flips Sara can do to the number of flips Geena can do is 3:8. Geena can do 120 more flips than Sara. If Sara increases the number of her flips by 3 and Geena decreases the number of her flips by 12, what will be the new ratio of the number of flips Sara can do to the number of flips Geena can do?
Answer by stanbon(75887) About Me  (Show Source):
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Sara and Geena can both do flips in the air. The ratio of the number of flips Sara can do to the number of flips Geena can do is 3:8.
Sara = 3x flips
Geena = 8x flips
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Geena can do 120 more flips than Sara.
8x = 3x+120
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Solve for "x":
5x = 120
x = 24
Sara = 3x = 72 flips
Geena = 8x = 192 flips
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If Sara increases the number of her flips by 3 and Geena decreases the number of her flips by 12, what will be the new ratio of the number of flips Sara can do to the number of flips Geena can do?
Sara will be 72+3 = 75
Geena will be 192-12 = 180
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New Ratio: 75:180 = 15:36 = 5:12
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Cheers,
Stan H.
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