Answer:
The message send by each person
Message sent by Ryan is 20
Message sent by Kira is 12
Message send by John is 80
Step-by-step explanation:
Given as :
The total number of messages sent y three people Kira , John , Ryan = 112
Kira sent 8 fewer messages than Ryan.
John sent 4 times as many messages as Ryan.
Let The message sent by Kira = K
The message sent by John = J
The message sent by Ryan = R
So, According to question
K + J + R = 112
And K = R -8
And J = 4 × R
So, ( R - 8 ) + 4 × R + R = 112
or , R + 4 R + R = 112 + 8
Or, 6 R = 120
or , R = [tex]\frac{120}{6}[/tex]
I.e R = 20
So, Message sent by Ryan = R = 20
Similarly K = R - 8
I.e K = 20 - 8 = 12
Or , K = 12
So, Message sent by Kira = K = 12
And J = 4 × R
I.e J = 4 × 20
or, J = 80
So, the message send by John = J = 80
Hence The message send by each person
Message sent by Ryan is 20
Message sent by Kira is 12
Message send by John is 80 Answer
Answer:
The number of messages sent by Ryan is 20 and by Kira is 12 and by John is 80.
Step-by-step explanation:
Given,
Total number of messages = 112
Solution,
Let the number of messages sent by Ryan be x.
So the number of messages sent by Kira = [tex](x-8)[/tex]
And the number of messages sent by John = 4x
The total number of messages is sum of messages sent by all of them.
Total number of messages = number of messages sent by Ryan + number of messages sent by Kira + number of messages sent by John
Which is represented by the equation as;
[tex]112=x+(x-8)+4x\\112=x+x+4x-8\\6x=112+8\\6x=120\\\\x=\frac{120}{6}=20[/tex]
[tex]x=20\\\therefore x-8=20-8=12\\\therefore4x=4\times20=80[/tex]
Hence the number of messages sent by Ryan is 20 and by Kira is 12 and by John is 80.
