Total number of eight hour shifts worked by Cleo is 18
Given: 1) Cleo worked 3 times as many 8 hour shifts as 6 hour shifts.
2) She worked a total of 180 hours.
Let the number of eight hour shifts and six hour shifts be E and S respectively.
Therefore, from (1) we can say that:
E = 3S
=> S = E / 3
Also from (2) we get total number of hours worked by Cleo is 180.
Therefore, 8E + 6S = 180
Substituting value of S in the equation:
8E + 6 * (E / 3) = 180
8E + 2E = 180
E = 18
Total number of eight hour shifts worked by Cleo is 18
Know more about "finding total hours" problems here: https://brainly.com/question/22443545
#SPJ1