Find the number of full 8 hour shifts that Cleo worked last month.
(1) She worked three times as many 8 hour shifts as 6 hour shifts.
(2) She worked a total of 180 hours.


Hours per Shift x No. of Shifts = Total Hours worked

Respuesta :

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

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