Problema Solution
Over the last three evenings, Salma received a total of
98
phone calls at the call center. The first evening, she received
10
more calls than the third evening. The second evening, she received
2
times as many calls as the third evening. How many phone calls did she receive each evening?
Answer provided by our tutors
let
x = the number of calls received the first evening
y = the number of calls received the second evening
z = the number of calls received the third evening
Salma received a total of 98 phone calls at the call center:
x + y + z = 98
The first evening, she received 10 more calls than the third evening:
x = 10 + z
The second evening, she received 2 times as many calls as the third evening:
y = 2z
by solving the system of equations:
x + y + z = 98
x = 10 + z
y = 2z
we find:
x = 32 calls
y = 44 calls
z = 22 calls
click here to see the step by step solution of the system of equations:
First evening she received 32 calls, second evening she received 44 calls and the third evening she received 22 calls.