Problema Solution
Nicole Josh and Alan sent a total of 59 text messages over their cell phones during the weekend. Alan sent two times as many messages as Nicole.Nicole sent nine more messages then Josh. how many messages did they each send
Answer provided by our tutors
let
n = the number of text messages Nicole sent
j = the number of text messages Josh sent
a = the number of text messages Alan sent
Nicole Josh and Alan sent a total of 59 text messages over their cell phones during the weekend
n + j + a = 59
Alan sent two times as many messages as Nicole
a = 2n
Nicole sent nine more messages then Josh
n = 9 + j
by solving the system of equations
n + j + a = 59
a = 2n
n = 9 + j
we find
n = 17 messages
j = 8 messages
a = 34 messages
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