Latoya, Brian, and Charlie sent a total of 124 text messages over their cell phones during the weekend. Charlie sent 4 times as many messages as Brian. Brian sent 8 more messages than Latoya. How many messages did they each send?

Brian: 22

Charlie: 88

Latoya: 14

Step-by-step explanation:

Set up an equation where b represents the number of messages Brian sent:

4b will represent Charlie because he sent 4 times more texts than Brian did

(b - 8) represents Latoya because they sent 8 less texts than Brian:

b + 4b + (b - 8) = 124

Add like terms:

6b - 8 = 124

6b = 132

b = 22

Now, we can plug in 22 as b to find Charlie and Latoya's number of texts:

4b = 4(22) = 88

b - 8 = 22 - 8 = 14

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)