Question

Lucy, Gorman, and Rafael sent a total of 140 text messages over their cell phones during the weekend. Rafael sent 4 times as many messages as Goran. Goran sent 8 fewer messages than Lucy. How many messages did they each send?

Answer 1

• Raphael: 88
• Goran: 22
• Lucy: 30

Explanation:

Let g represent the number of messages Goran sent. Then 4g is the number Rafael sent, and g+8 is the number Lucy sent. Their total is ...

(g+8) +g +4g = 140

6g = 132

g = 22

g+8 = 30

4g = 88

Lucy sent 30 messages; Goran sent 22; and Rafael sent 88.