Over the last three evenings, Lucy received a total of 107 phone calls at the call center. The second evening, she received 3 times as many calls as the third evening. The first evening, she received 7 more calls than the third evening. How many phone calls did she receive each evening?

1st evening = 7 + 20 = 27 calls

2nd evening = 3 (20 ) = 60 call

3rd evening = 20 calls

Step-by-step explanation:

total calls for the last three evenings = 107 phone calls

2nd evening = 3x as many calls as the 3rd evening

1st evening = 7 more calls than the 3rd evening.

find:

how many calls did she receive each evening?

let T (total) = 107

let x = 3rd evening.

let 2nd = 3x

let 1st = (7 + x)

T = 1st + 2nd + 3rd

107 = (7 + x) + 3x + x

107 - 7 = 5x

100 = 5x

x = 100 / 5

x = 20

therefore,

1st evening = 7 + 20 = 27 calls

2nd evening = 3 (20 ) = 60 call

3rd evening = 20 calls

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6