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Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan sent 4 times as many messages as Scott . How many messages did they each send?

User Rdllopes
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1 Answer

7 votes

Answer:

number of message sent by Scott is 23

number of message sent by Christine is 30

number of message sent by Milan is 92

Explanation:

Total message sent by Christine,Milan, and Scott : 145

Let number of message sent by Scott be x .

Given that Christine sent 7 more messages than Scott

number of message sent by Christine is x+7

It is also given that Milan sent 4 times as many messages as Scott

number of message sent by Milan is 4*x = 4x.

Thus, sum of message sent by Christine,milan, and Scott in terms of x

= x + x + 7 + 4x = 6x + 7

we already know that Total message sent by Christine,milan, and Scott is 145

thus, 6x + 7 should be equal to 145

6x + 7 = 145

=>6x = 145 - 7 = 138

=> x = 138/6 = 23

Thus,

number of message sent by Scott is x = 23

number of message sent by Christine is x+7 = 23+7 = 30

number of message sent by Milan is 4x = 4*23 = 92

User Jumichot
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