SOLUTION: The pocket money of Joan and Joyce are in the ratio10:8, If Joan has Rs. 20 more than Joyce, find the pocket money ofeach one?

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Question 541294: The pocket money of Joan and Joyce are in the ratio10:8, If Joan has Rs. 20 more than Joyce, find the pocket money ofeach one?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let Joan's money = a
Let Joyce's money = b
given:
+a%2Fb+=+10%2F8+
+a%2Fb+=+5%2F4+
(1) +a+=+%285%2F4%29%2Ab+
and
(2) +a+=+b+%2B+20+
Substitute (1) into (2)
(2) +%285%2F4%29%2Ab+=+b+%2B+20+
(2) +5b+=+4b+%2B+80+
(2) +b+=+80+
and, since
(2) +a+=+b+%2B+20+
(2) +a+=+80+%2B+20+
(2) +a+=+100+
Joan has 100 Rs
Joyce has 80 Rs