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Susan, Rueben, and Josh sent a total of 89 text messages over their cell phones during the weekend. Josh sent 3 times as many as Susan. Susan sent 6 more messages than Rueben. How many messages did they each send?

Respuesta :

susan would send 35 messages and josh would send 54
Neuron
Imagine Susan, Rueben and Josh in a equation.

x = Susan
y = Rueben
z = Josh

x + y + z = 89 (they wrote 89 messages together)

z = 3x (Josh sent 3 times as many as Susan)

x = y + 6 (Susan sent 6 more than Rueben)

we can turn the x = y + 6 around y = x - 6

now we can add y = x - 6 and z = 3x into the first equation

x + x - 6 + 3x = 89

5x = 95

x = 19

y = 19 - 6 
y = 13

z = 3*19
z = 57

Susan sent 19 messages, Rueben sent 13 messages, and Josh sent 7 messages :)

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