Keisha, Miguel, and Pablo sent a total of 69 text messages during the weekend. Miguel sent 5 more messages than Keisha. Pablo se

Question

3 years ago

11

Keisha, Miguel, and Pablo sent a total of 69 text messages during the weekend. Miguel sent 5 more messages than Keisha. Pablo se

nt 2 times as many
messages as Keisha. How many messages did they each send?
Number of text messages Kelsha sent:
Number of text messages Miguel sent:
N
aftavt mes Pablo sent:

Mathematics

1 answer:

frutty [35] · Answer 1 · 2022-02-26T07:05:27+03:00

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Step-by-step explanation:

Total messages sent = 69

Let,

Messages sent by Keisha = x

Messages sent by Miguel = y

Messages sent by Pablo = z

According to given statement;

x+y+z=69 Eqn 1

y=x+5 Eqn 2

z=2x Eqn 3

Putting Eqn 2 and 3 in Eqn 1

$x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64$

Dividing both sides by 4;

$\frac{4x}{4}=\frac{64}{4}\\x=16$

Putting x=16 in Eqn 2

$y=16+5=21$

Putting x=16 in Eqn 3

$z=2(16)=32\\$

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Keywords: addition, linear equation

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