Linda,\ aldo\ and\ tom\ sent\ a\ total\ of\ 147\ text\ messages\ during\ the\ weekend.\ Tom\ sent\ 4\ times\ as\ many\ messages\ as\ aldo.\ linda\ sent\ 9\ more\ messages\ than\ aldo.\ How\ many\ messages\ did\ they\ each\ send

Respuesta :

Answer:

Linda Sent 32 messages, Aldo sent 23 messages and Tom sent 92 messages.

Step-by-step explanation:

Let number of messages sent by Linda=l

Let number of messages sent by Aldo=a

Let number of messages sent by Tom=t

Linda, Aldo and Tom sent a total of 147 messages

t+a+l=147.........(i)

If Tom sent 4 times as many messages as Aldo,

t=4a ......(ii)

Linda Sent 9 more messages than Aldo

l=a+9.........(iii)

We are required to find the number of messages each sent i.e. l, a and t

Substituting Equations (ii) and (iii) into (i)

t+a+l=147

4a+a+(a+9)=147

6a+9=147

6a=147-9

6a=138

a=138/6=23

From (ii). t=4a

t=4X23=92

From (iii), l=a+9=23+9=32

Therefore:

Linda Sent 32 messages, Aldo sent 23 messages and Tom sent 92 messages.