Question

Thomas's shifts vary in length. He works an 8-hour shift half of the time, a 10-hour shift a third of the time, and a 12-hour shift a sixth of the time. What percent of his workdays does Thomas work more than 8 hours? Explain.

Answer 1

50% of the time

by adding the number of times he does a 10-hour shift and the number of times he does a 12-hour shift, we get 1/2 which is equal to 50%

Explanation:

the shifts that are greater than 8 are the 10 and 12 hours shifts

he does the 10 hour shift 1/3 of the time and the 12 hour shift 1/6 of the time

add both fractions

`(1)/(3)` +
`(1)/(6)`

`(2+1)/(6)` =
`(3)/(6)` =
`(1)/(2)`

to convert to percentage, multiply 1/2 by 100

1/2 x 100 = 50%