Question

Keisha, Felipe, and Manuel sent a total of 100 text messages during the weekend. Keisha sent 8 more messages than Felipe. Manuel sent 2 times as many

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

Answer 1

Felipe = 23 messages

Keisha = 31 messages

Manuel = 46 messages

Explanation:

Keisha = K

Felipe = F

Manuel = M

=> There are a total of 100 messages.

=> K sent 8 +F => K = 8 + F

=> M sent 2 * F => M = 2F

=> F = F

=> 8 + F + 2F + F = 100

=> 8 + 4F = 100

=> 8 - 8 +4F = 100 -8

=> 4F = 92

=> 4F/4 = 92/4

=> F = 23

So, Felipe = 23 messages.

Keisha = 8 + F = 8 + 23 = 31 messages.

Manuel = 2F = 2* 23 = 46 messages.

46 + 31 + 23 = 77 + 23 = 100 messages.

So, the answer is correct.