SOLUTION: Over the last three evenings,Ashley received a total of 50 phone calls at the call center.the third evening she received 2 times as many calls as the second evening.the first eveni

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Over the last three evenings,Ashley received a total of 50 phone calls at the call center.the third evening she received 2 times as many calls as the second evening.the first eveni      Log On


   

Question 1058088: Over the last three evenings,Ashley received a total of 50 phone calls at the call center.the third evening she received 2 times as many calls as the second evening.the first evening,she received 10 fewer calls than the second evening.How many phone calls did she receive each evening
Answer by solve_for_x(190) About Me  (Show Source):
You can put this solution on YOUR website!
Let x represent the number of calls received on the second evening.

The number of calls received on the first evening is x - 10.

The number of calls received on the third evening is 2x.

The sum of calls received on the three evenings is (x - 10) + x + 2x, and this is equal to 50:

(x - 10) + x + 2x = 50

4x - 10 = 50

4x = 50 + 10

4x = 60

x = 60/4

x = 15

The number of calls received on each evening is then:

First evening: x - 10 = 15 - 10 = 5

Second evening: x = 15

Third evening: 2x = 2(15) = 30

Check: 5 + 15 + 30 = 60