Question

over the last three evenings. Linda recieved a total of 78 phone calls at the call center. the second evening, she reveived 2 times as many calls as the third evening. the first evening she reveived 6 few calls than the third evening.

Answer 1

To find the number of calls Linda received on each evening, let's assign variables to represent the number of calls on each evening.

Let's say the number of calls Linda received on the first evening is x, on the second evening is 2x, and on the third evening is y.

From the information given, we can create the following equations:

Equation 1: x + 2x + y = 78 (total number of calls over three evenings)
Equation 2: 2x = y (the second evening's calls were twice as many as the third evening)
Equation 3: x = y - 6 (the first evening's calls were 6 fewer than the third evening)

Now, let's solve these equations to find the values of x, 2x, and y:

Substituting Equation 2 into Equation 1:
x + 2(2x) + 2x = 78
x + 4x + 2x = 78
7x = 78
x = 78/7
x ≈ 11.14

Substituting x into Equation 3:
11.14 = y - 6
y = 11.14 + 6
y ≈ 17.14

Therefore, Linda received approximately 11 calls on the first evening, 22 calls on the second evening, and 17 calls on the third evening.