How much more money?

The ratio of Beatriz’s savings to Hannah’s savings is 4 : 7. The ratio of Hannah’s savings to Julia’s savings is 3 : 5. The three girls have a total savings of $136. How much more money has Julia saved than Beatriz? Explain how you got your answer.

1 answer

B:H = 4:7
H:J = 3:5
7*3 = 21, so we also have

B:H = 12:21
H:J = 21:35

So,

B:H:J = 12:21:35
12+21+35 = 68
136/68 = 2, so double everything so the sum is 136

B:H:J = 24:42:70
and those are the amounts for each girl.
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