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Flauer [41]
3 years ago
10

Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 tim

es as many messages as alan. How many messages did they each send?
Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

Salma, joe, and alan sent 14, 69, and 23 text messages respectively

Step-by-step explanation:

Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that

s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively

Given salma sent 9 fewer messages than alan

s = a - 9

Joe sent 3 times as many messages as alan

j = 3a

hence

a - 9 + 3a + a = 106

5a - 9 = 106

5a = 106 + 9

5a = 115

Divide both sides by 5

a = 115/5

= 23

s = 23 - 9

= 14

j = 3* 23

= 69

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