Heather, brian, and austin sent a total of 97 messages over their cell phones over the weekend. heather sent 7 fewer messages than brian. austin sent 3 times as many as heather. how many messages did they each send?

Heather = 18 messages

Brian = 25 messages

Austin = 54 messages

Step-by-step explanation:

We know that Heather, Brian, and Austin sent a total of 97 messages.

Assuming the number of messages sent by Brian as x, we can say that Heather sent x-7 messages (7 fewer messages than Brian) and Austin sent 3(x-7) messages (3 times as many as Heather).

So Brian sent (x) messages =  25 messages,

Heather sent (x-7) messages = 25 - 7 = 18 messages; and

Austin sent 3(x-7) messages = 3(25-7) = 54 messages

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

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step-by-step explanation: