Question

Teresa, Eric, and Ryan sent a total of 99 text messages over their cell phones during the weekend. Eric sent 3 times as

Answer 1

I'll use t for the messages Teresa sent, e for messages Eric sent, and r for messages Ryan sent.

Therefore we have, t+e+r=99.

From the text we also know:

e=3r ; r=t+6

If we substitute in the original equation we get:

t+3(t+6)+t+6=99; By simplifying it we get

5t=75 , therefore t=75/5=15.

Since Teresa send 15 messages,Ryan sent 6 more then here, so he send 21. Eric sent three times the

messages Ryan sent so he sent 63 messages. If we add them together 15+21+63, we get the total of 99 messages.