Final answer:
The mathematics problem involves finding how many messages each individual sent. Through setting up and solving an algebraic equation, it can be determined how many messages each sent, but the final numbers do not match any of the provided options, indicating a possible error in the question or options.
Step-by-step explanation:
The mathematics question asks to determine how many messages each person sent given the total messages sent and the relationships between the amounts sent by each person.
Let's let the number of messages Deshaun sent be represented by x. Therefore, Reina sent x + 6 messages, and Keith sent 3x messages. The total number of messages sent by all three, which is given as 101, can be represented by the equation x + (x + 6) + 3x = 101. Solving for x, we get:
x + x + 6 + 3x = 101
5x + 6 = 101
5x = 101 - 6
5x = 95
x = 95 / 5
x = 19
So, Deshaun sent 19 messages, Reina sent 19 + 6 = 25 messages, and Keith sent 3 × 19 = 57 messages. But none of the provided options match these results. There must be a typo in the question or the provided options.