Question

Melissa, Keith, and Chau sent a total of 100 text messages over their cell phone during the weekend. Chau sent 10 fewer messages than Melissa. Keith sent 4 times as many messages as Chau. How many messages did they each send?

Answer 1

Answer:

The number of messages sent by Melissa was 25

The number of messages sent by Keith was 60

The number of messages sent by Chau was 15

Step-by-step explanation:

Let

x ----> the number of messages sent by Melissa

y ----> the number of messages sent by Keith

z ----> the number of messages sent by Chau

we know that

$x+y+z=100$ ------> equation A

$z=x-10$ -----> $x=z+10$ ----> equation B

$y=4z$ -----> equation C

substitute equation B and equation C in equation A

$z+10+4z+z=100$

Solve for z

$6z+10=100$

$6z=100-10$

$6z=90$

$z=15$

Find the value of x

$x=15+10=25$

Find the value of y

$y=4(15)=60$

therefore

The number of messages sent by Melissa was 25

The number of messages sent by Keith was 60

The number of messages sent by Chau was 15