Question

Heather Pablo, and Shen sent a total of 123 text messages during the weekend. Heather sent 9 more messages than Pablo. Shen sent 4 times as many

messages as Pablo. How many messages did they each send?

Answer 1

Heather sent 28, Pablo sent 19, and Shen sent 76.

Explanation:

This will be your equation

123 = H (Heather) + P (Pablo) + S (Shen)

This is the extra stuff

P + 9 = H

4P = S

Substitute so there is only P then use that to solve for the rest

123 = P + 9 + P + 4P

Then solve

123 = 6P + 9

123 - 9 = 6P + 9 - 9

114 = 6P

19 = P

Then substitute for the extra equations

19 (P) + 9 = 28 (H)

19 (P) * 4 = 76