SOLUTION: Jane had some sweets and chocolates, if Jane gives 24 sweets away, the number of sweets and chocolates left became 4:1, if Jane gave 20 chocolates away, the ratio of the number of

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Jane had some sweets and chocolates, if Jane gives 24 sweets away, the number of sweets and chocolates left became 4:1, if Jane gave 20 chocolates away, the ratio of the number of      Log On


   

Question 1184392: Jane had some sweets and chocolates, if Jane gives 24 sweets away, the number of sweets and chocolates left became 4:1, if Jane gave 20 chocolates away, the ratio of the number of sweet to the number of chocolates left became 5:1, Find the total number of sweets and chocolates Jane had at first.
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!

>>>Jane had some sweets and chocolates,

They were in the ration S:C or S%2FC=1%2F1

>>>if Jane gives 24 sweets away, the number of sweets and chocolates left became 4:1, 

%28S-24%29%2FC=4%2F1

>>>if Jane  gave 20 chocolates away, the ratio of the number of sweet to the number of chocolates left became 5:1, 

%28S-20%29%2FC=5%2F1

>>>Find the total number of sweets and chocolates Jane had at first.

Solve the system:

system%28%28S-24%29%2FC=4%2F1%2C%28S-20%29%2FC=5%2F1%29

Simplifying:

system%28S-24=4C%2CS-20=5C%29

Solve by any method and get S=40, C=4.

Edwin

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Jane had some sweets and chocolates, if Jane gives 24 sweets away, the number of sweets and chocolates left became 4:1, if Jane gave 20 chocolates away, the ratio of the number of sweet to the number of chocolates left became 5:1, Find the total number of sweets and chocolates Jane had at first.
Let number of sweets and chocolate, be S and C, respectively

      

Number of chocolate, or C = 124 ----- Subtracting eq (ii) from eq (i)

Number of sweets, or S = 24 + 4(124) = 496 ------ Substituting 124 for C in eq (i)