Question

Diane, John, and Hans sent a total of 135 text messages during the weekend. John sent 9 more messages than Diane. Hans sent 4 times as many messages as Diane. How many messages did they each send

Answer 1

Diane sent 21 messages
John sent 30 messages
Hans sent 84 messages

Answer 2

Diane sent 21messages

John sent 30 messages

Hans sent 84 messages

Explanation:

Total messages =135

let messages sent by Diane =x

""". sent by John=x+9

sent by Hans=4x

Now the sum

x+x+9+4x=135

6x+9=135

6x=135-9

6x=126

x=126/6

x=21

Diane's message=x=21

John's message=x+9=21+9=30messages

Hans' messages=4×x=4×21=84