asked 195k views
2 votes
Ashley, pablo, and milan sent a total of 122 messages over their cell phones during the weekend . Milan sent 3 times as many messages as pablo. Pablo sent 7 fewer messages than ashley. How many messages did they each send

asked
User Sobeida
by
8.1k points

1 Answer

5 votes

Answer:

Ashley sent 30

Pablo sent 23

Milan sent 69

Explanation:

let A = messages sent by Ashley

P = messages sent by Pablo

M = messages sent by Milan

Ashley, pablo, and milan sent a total of 122 messages over their cell phones during the weekend.

A + P + M = 122

Milan sent 3 times as many messages as pablo

M = 3P

Pablo sent 7 fewer messages than ashley

P = A - 7 or A = P + 7

A + P + M = 122

P + 7 + P + 3P = 122

5P = 122 - 7

5P = 115

P = 23

M = 3P

M = 3(23)

M = 69

P = A - 7

23 = A - 7

23 + 7 = A

A = 30

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