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

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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)   (Show Source): You can put this solution on YOUR website!

>>>Jane had some sweets and chocolates,

They were in the ration S:C or 

>>>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.

Solve the system:



Simplifying:



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

Edwin

Answer by MathTherapy(10552)   (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)
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