contestada

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?

Respuesta :

calculista

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

[tex]x+y+z=100[/tex] ------> equation A

[tex]z=x-10[/tex] -----> [tex]x=z+10[/tex] ----> equation B

[tex]y=4z[/tex] -----> equation C

substitute equation B and equation C in equation A

[tex]z+10+4z+z=100[/tex]

Solve for z

[tex]6z+10=100[/tex]

[tex]6z=100-10[/tex]

[tex]6z=90[/tex]

[tex]z=15[/tex]

Find the value of x

[tex]x=15+10=25[/tex]

Find the value of y

[tex]y=4(15)=60[/tex]

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

Otras preguntas