SOLUTION: Charlie gets half the allowance that Lilly gets. Lilly is not much older than Charlie. Isaac is 3 years older and receives three times what Charlie gets. The three together receive

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Question 915524: Charlie gets half the allowance that Lilly gets. Lilly is not much older than Charlie. Isaac is 3 years older and receives three times what Charlie gets. The three together receive $144. How much does Charlie get?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the amounts they get = L, +I, and C
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(1) +C+=+%281%2F2%29%2AL+
(2) +I+=+3C+
(3) +C+%2B+L+%2B+I+=+144+
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(1) +L+=+2C+
Substitute (1) and (2) into (3)
(3) +C+%2B+2C+%2B+3C+=+144+
(3) +6C+=+144+
(3) +C+=+24+
and
(2) +I+=+3%2A24
(2) +I+=+72+
and
(1) +L+=+2%2A24+
(1) +L+=+48+
Charlie gets $24
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check:
+24+%2B+48+%2B+72+=+144+
+144+=+144+
OK