is a algebra math 095 online that I'm taking

Question

Yoko, Juan, and Goran sent a total of 105

 text messages over their cell phones during the weekend. Goran sent 10

 more messages than Yoko. Juan sent 3

 times as many messages as Goran. How many messages did they each send?

Answer 1

Yoko, Juan, and Goran sent a total of 105

 text messages over their cell phones during the weekend. Goran sent 10

 more messages than Yoko. Juan sent 3

 times as many messages as Goran. How many messages did they each send?

Let Y = Yoko's messages

Let J = Juan's messages

Let G = Goran's messages

Y + J + G = 105

G = Y + 10

Y = G - 10

J = 3G

Substitute back into

Y + J + G = 105

(G - 10) + 3G + 1G = 105

5G - 10 = 105

5G = 115

G = 115 / 5

G = 23

J = 3G = 3*23 = 69

Y = G - 10 = 23 - 10 = 13

Yoko sent 13 messages, Juan sent 69 messages, and Goran sent 23 messages is the answer that you seek.

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Thanks!

John B.

Atlanta, GA