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makaylapink8167
30.07.2019 •
Mathematics
When brooklyn and kayla left for their trip, the ratio of brooklyn's money to kayla's money was 7: 3. after a short while brooklyn gave kayla $30, making the new ratio of their cash 3: 2. when they started the trip, how much more money did brooklyn have than kayla? open add class comment…
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Ответ:
Beginning ammount
B : K = 7 : 3
Brooklyn original amount = 7x
Kayla original amount = 3x
After brooklyn give the money :
(B - 30) : (K + 30) = 3:2
(7x - 30) / (3x + 40) = 3/2
2 (7x-30) = 3(3x+30)
14x - 60 = 9x + 90
14x - 9x = 90 + 60
5x = 150 ; x = 30
So, original amount of Brooklyn and Kayla's money:
Brooklyn = 7x = 7 x 30 = 210
Kayla = 3x = 3x 30 = 90
The difference is 210 - 90 = 120
Ответ: