Fraction questions

Question

3/4 of Chelsea's money is the same as 5/6 of Brian's money. If Chelsea had $24 more than Brian, how much do Chelsea and Brian have altogether?

Answer 1

Let C = Chelsea's money

Let B = Brian's money

 

(3/4)C = (5/6)B   {equation 1}

 

C = B + 24   {equation 2}

 

In equation 1 replace C with B+24

 

(3/4)(B+24) = (5/6)B

(3/4)B + 18 = (5/6)B

 

(5/6)B - (3/4)B = 18

(10/12)B - (9/12)B = 18

(1/12)B = 18

B = 18(12)

B = $216

 

C = B + 24 = $240

 

Together they have $456