Question

Kira John and Ryan sent a total of 112 text messages during the weekend. Kira sent 8 fewer messages than Ryan. John sent 4 times as many messages as Ryan. How many messages did they each send?

Answer 1

The number of messages sent by Ryan is 20 and by Kira is 12 and by John is 80.

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 =
`(x-8)`

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;

`112=x+(x-8)+4x\\112=x+x+4x-8\\6x=112+8\\6x=120\\\\x=(120)/(6)=20`

`x=20\\\therefore x-8=20-8=12\\\therefore4x=4*20=80`

Hence the number of messages sent by Ryan is 20 and by Kira is 12 and by John is 80.

Answer 2

The message send by each person

Message sent by Ryan is 20

Message sent by Kira is 12

Message send by John is 80

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 =
`(120)/(6)`

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