MATH SOLVE

4 months ago

Q:
# 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…

Accepted Solution

A:

Initially, brooklyn has $120 more money than Kayla. Here's the calculation

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

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