Find the number of full 8 hours shifts that Cleo worked last month.
He worked three times as many 8 hour shifts as 6 hour shifts.
He worked a total of 180 hours.
Let's assume Cleo worked x number of 6-hour shifts in a month.
Since Cleo worked three times as many 8-hour shifts as 6-hour shifts, he worked 3x 8-hour shifts.
The number of hours Cleo worked in 6-hour shifts is 6x.
The number of hours Cleo worked in 8-hour shifts is 3x * 8 = 24x.
The total number of hours Cleo worked is 6x + 24x = 30x.
Given that Cleo worked a total of 180 hours, we can set up the equation:
30x = 180
To find x, we divide both sides of the equation by 30:
x = 180 / 30
x = 6
Therefore, Cleo worked 6 six-hour shifts and 3 * 6 = 18 eight-hour shifts.
Since there are 8 hours in each shift, Cleo worked a total of 18 * 8 = 144 hours in his eight-hour shifts.
Thus, Cleo worked a total of 144 + 6 x 6 = 180 hours in a month.
Therefore, Cleo worked a total of 18 full 8-hour shifts last month.
To find the number of full 8-hour shifts that Cleo worked last month, we need to determine the number of 8-hour shifts he worked using the given information.
Let's assume Cleo worked x number of 6-hour shifts last month.
Since he worked three times as many 8-hour shifts as 6-hour shifts, the number of 8-hour shifts would be 3x.
Now, to calculate the total number of hours worked, we need to multiply the number of 6-hour shifts by 6 (hours) and the number of 8-hour shifts by 8 (hours) and add them together:
Total hours worked = (6 * x) + (8 * 3x)
We know that the total hours worked were 180 hours, so we can set up the equation:
180 = 6x + 24x
Combining like terms, we get:
180 = 30x
Dividing both sides by 30:
x = 180 / 30
x = 6
Therefore, Cleo worked 6 six-hour shifts last month.
Now, we can find the number of 8-hour shifts Cleo worked:
Number of 8-hour shifts = 3x = 3 * 6 = 18
Therefore, Cleo worked a total of 18 full 8-hour shifts last month.
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E=3*S
8E+6S=180