Amy, deshaun, and miguel sent a total of 113 text messages during the weekend. amy sent 5 fewer messages than miguel. deshaun sent 3 times as many messages as miguel. how many messages did they each send?

Miguel =  23.6 messages

Deshaun =  = 70.8 messages

Amy =  18.6 messages

Step-by-step explanation:

let represent Amy with "A"

and Deshaun with "D" and Miguel with "M"

if A + D + M = 113     eqn 1

and

A = M-5 (Amy sent 5 fewer messages than Miguel. )

D = 3 * M (Deshaun sent 3 times as many messages as Miguel)

rewriting eqn 1 in terms of M

(M-5) + 3M + M = 113     eqn 1

M - 5 + 3M + M = 113

5M = 113 +5 = 118

M = 118/5 = 23.6 messages

D = 3* 23.6 = 70.8 messages

A = 23.6 -5 = 18.6 messages