Problema 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 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 provided by our tutors
Let
s = the number of flips Saran can do
g = the number of flips Geena can do
The ratio of the number of flips Sara can do to the number of flips Geena can do is 3:8
s : g = 3 : 8 cross-multiply
8s = 3g
Geena can do 120 more flips than Sara:
g = s + 120
We have the following system of equations:
8s = 3g
g = s + 120
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s = 72 flips
g = 192 flips
Sara increases the number of her flips by 3 and Geena decreases the number of her flips by 12
s + 3 = 72 + 3 = 75
g - 12 = 192 - 12 = 190
The new ratio of the number of flips Sara can do to the number of flips Geena can do is:
75 : 190 = (5*15) : (5*38) = 15 : 38.