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27.11.2019 •
Mathematics
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?
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Ответ:
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
Ответ:
Darwin's age = 2x+6
Then, 2x+6 = 50
2x = 44
x = 22
So, your answer is 22
Hope this helps!