Sean has worked 66 hours over the last 10 days without a day off. He worked either a 6 hour day or an 8 hour day. During the 10
day period, how many days did Sean work an 8 hour day?
1 answer:
He worked 3 8-hour days.
Let x be the number of 8 hour days. Then 10-x is the number of 6 hour days.
8x + 6(10-x) = 66
Using the distributive property,
8x + 6*10 - 6*x = 66
8x + 60 - 6x = 66
Combining like terms:
2x + 60 = 66
Subtract 60 from both sides:
2x + 60 - 60 = 66 - 60
2x = 6
Divide both sides by 2:
2x/2 = 6/2
x = 3
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