K, D and T sent a total of 112 text messages over the weekend. T sent 10 fewer messages than K. D sent 4 times as many messages as T. How many messages did they each send?

T sent 17 messages

K sent 27 messages

D sent 68 messages

Step-by-step explanation:

Total 112 text messages sent by K, D, and T. So we can write:

K + D + T = 112

Now,

T sent 10 fewer messages than K, so we can write:

T + 10 = K

D sent 4 TIMES as much as T, so we can write:

D = 4T

Now, we replace these 2 equations in the first one to get:

K + D + T = 112

T + 10 + 4T + T = 112

Now, we solve for T:

T + 10 + 4T + T = 112

6T + 10 = 112

6T = 112 - 10

6T = 102

T = 102/6

T = 17

Finding K:

K = T + 10

K = 17 + 10

K = 27

Finding D:

D = 4T

D = 4 (17)

D = 68