Question

Lashonda, Josh, and Brian sent a total of 90 text messages during the weekend, Lashonda sent 10 more messages than Josh. Brian sent 2 times as manymessages as Josh. How many messages did they each send?Number of text messages Lashonda sent:Number of text messages Josh sent:Number of text messages Brian sent:

Answer 1

Defining:

Number of messages of Lashonda = L

Number of messages of Josh = J

Number of messages of Brian = B

We know that:

L+J+B=90 (Equation 1)

We also know:

L = J+10 (Equation 2)

B=2J (Equation 3)

Now, we can substitue the values for L and B in the first equation

L+J+B=90

J+10 + J + 2J = 90

4J=90-10

4J=80

J=80/4

J=20

Since you found how many messages Josh sent, we can return to Equation 2 and 3:

L = J+10

L = 20 + 10

L = 30

B=2J

B=2*20

B=40

ANSWER:

Number of text messages Lashonda sent: 30

Number of text messages Josh sent: 20

Number of text messages Brian sent: 40