Lucy,Milan and Carlos sent a total of 139.

Lucy,Milan and Carlos sent a total of 139 text messages over their cell phones during the weekend. Carlos sent 4 times as many messages as Lucy. Lucy sent 7 fewer messages than Milan. How many messages did they each send?
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1 Answer

Let L, M, C represent the numbers of messages each sent.

L+M+C=139 total messages sent.

C=4L, L=M-7, so M=L+7. Now substitute for C and M:

L+L+7+4L=139,

6L+7=139,

6L=132, L=132/6=22, therefore C=4L=88, M=L+7=29.

Lucy sent 22 messages, Milan 29 messages, Carlos 88 messages.
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