rita, john, and kareem sent a total of 92 text messages during the weekend. kareem sent 4 times as many messages as rita. john sent 10 fewer messages than rita. how many messages did they each send?

Respuesta :

Rita, John, and Kareem sent  17, 7, and 68 messages, respectively.

Use algebraic expressions to solve this problem.

Let x, y, and z be the number of messages sent by Rita, John, and Kareem, respectively.

If Rita, John, and Kareem sent a total of 92 text messages during the weekend, then:

x + y + z = 92

If Kareem sent 4 times as many messages as Rita, then:

z = 4 * x

z = 4x

If John sent 10 fewer messages than Rita, then:

y = x - 10

Evaluating z = 4x and y = x - 10 to the first equation:

x + y + z = 92

x + (x - 10) + 4x = 92

x + x - 10 + 4x = 92

6x = 92 + 10

6x = 102

x = 17

Recall that y = x - 10:

y = 17 - 10

y = 7

And z = 4x:

z = 4(17)

z = 68

If x, y, and z are the number of messages sent by Rita, John, and Kareem, respectively, then Rita, John, and Kareem sent 17, 7, and 68 messages, respectively.

To learn more about algebraic expressions: https://brainly.com/question/17695139

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