SOLUTION: amy and michelle have $29.40 between them and amys money is 3 quarters of michelles. how much money does each have?

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Question 484630: amy and michelle have $29.40 between them and amys money is 3 quarters of michelles. how much money does each have?
Found 2 solutions by jorel1380, josmiceli:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
m+3/4m=2940
4m+3m=11760
7m=11760
m=$16.80
a=$12.60
Michelle has $16.80, Amy has $12.60..

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Amy's amount
Let +m+ = Michelle's amount
given:
(1) +a+%2B+m+=+29.4+
(2) +a+=+%283%2F4%29%2Am+
-----------------
By substitution
+%283%2F4%29%2Am+%2B+m+=+29.4+
+1.75m+=+29.4+
+m+=+16.8+
+a+=+.75%2A16.8+
+a+=+12.6+
Amy has $12.60 and Michelle has $16.80
check:
+12.6+%2B+16.8+=+29.4+
OK