Sara and Jenny can both do flips in the air. The ratio of the number of flips Sara can do to the number of flips Jenny can do is 3:8. Jenny can do 120 more flips than Sara. If Sara increases the number of her flips by 3 and Jenny 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 Jenny can do?
Work:
3:8
+3 -12
6:-4
original case:
number of flips by Sara = 3x
number of flips by Jenny = 8x
(notice the ratio of their flips is 3x : 8x = 3:8 )
8x - 3x = 120
5x = 120
x = 24
Sara does 72
Jenny does 192
second scenario:
flips by Sara = 72+3 = 75
flips by Jenny = 192 - 12 = 180
new ratio = 75 : 180
= 5 : 12
Your "work" makes absolutely no sense.