SOLUTION: Over the last three evenings, Debra received a total of 126 phone calls at the call center. The first evening, she received 6 more calls than the third evening. The second evening,

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Over the last three evenings, Debra received a total of 126 phone calls at the call center. The first evening, she received 6 more calls than the third evening. The second evening,      Log On


   

Question 1154061: Over the last three evenings, Debra received a total of 126 phone calls at the call center. The first evening, she received 6 more calls than the third evening. The second evening, she received 4 times as many calls as the third evening. How many phone calls did she receive each evening?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number received 3rd evening
+4x+ = number received 2nd evening
+x+%2B+6+ = number received 1st evening
---------------------------------------------
+x+%2B+4x+%2B+x+%2B+6+=+126+
+6x+=+120+
+x+=+20+
+4x+=+80+
+x+%2B+6+=+26+
---------------------
26 the 1st evening
80 the 2nd evening
20 the 3rd evening
------------------------
check:
+x+%2B+4x+%2B+x+%2B+6+=+126+
+26+%2B+80+%2B+20+=+126+
OK