Kira, goran, & joe sent a total of 90 text messages during the weekend. Goran sent 5 fewer messages than Kira. Joe sent 3 times as many messages as kira. How many messages did they each send

Answer: Kira sent 19 text messages, Goran sent 14  text messages  and Joe sent 57  text messages.Step-by-step explanation: Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend. We know know that they sent a total of 90 text messages then: [tex]k+g+j=90[/tex] Goran sent 5 fewer messages than Kira. This is: [tex]g=k-5[/tex] And Joe sent 3 times as many messages as Kira. Then: [tex]j=3k[/tex] The steps to solve this are: - Substitute the second equation and the third equatio into the first equation  and then solve for "k": [tex]k+(k-5)+(3k)=90\\\\5k-5=90\\\\5k=90+5\\\\k=\frac{95}{5}\\\\k=19[/tex] - Substitute this value into the second equation to find "g": [tex]g=19-5=14[/tex] - Substitute the value of "k" into the third equation to find "j": [tex]j=3(19)=57[/tex]