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I'll give brainliest if correct/Maria, Jose, and Trey sent a total of 124 text messages over their cell phones during the weekend. Jose sent 3 times as many messages as Trey. Trey sent 9 fewer messages than Maria. How many messages did they each send?​

Sagot :

Beautifulmind2468idn

Answer:

Maria sent 32 messages

Jose sent 69 messages

and Tray sent 23 messages

Step-by-step explanation:

m = Maria

j = Jose

t = Trey

m+j+t = 124

j = 3t

t+9 = m $\Rightarrow$ t = m - 9

By substituting the value of t (third equation) into the second equation, we get:

j = 3(m - 9) = 3m - 27.

Finally, by sticking in the values of j, and t we just found out into the first equation, we get:

m + (3m - 27) + (m - 9) = 124

4m - 27 + m - 9 = 124

5m - 36 = 124

5m = 160

m = 32.

So, j = 69,

and t = 23.

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