Problema Solution
Kala, Jim, and Dan sent a total of 98 text messages over their cell phones during the weekend. Dan sent 4 times as many messages as Kala. Kala sent 8 fewer messages than Jim. How many messages did they each send?
Answer provided by our tutors
let
k = the number of messages Kala sent
j = the number of messages Jim sent
d = the number of messages Dan sent
Kala, Jim, and Dan sent a total of 98 text messages
k +j + d = 98
Dan sent 4 times as many messages as Kala
d = 4k
Kala sent 8 fewer messages than Jim
k = j - 8
by solving the system of equations
d = 4k
k = j - 8
k +j + d = 98
click here to see the step by step solution of the system
k = 15 messages
j = 23 messages
d = 60 messages
Kala sent 15 messages.
Jim sent 23 messages.
Dan sent 60 messages.