Question 49436: A teacher assigned homework and told the student that on each day after the first, they must complete twice the number of problems that they had done so far. if at the end of five days the students had completed one-third of the problems, how longs will it take them to complete the total assignment?
Answer by Born2TeachMath(20)   (Show Source):
You can put this solution on YOUR website! Not a lot of algebra going on here, just some number sense.
After 5 days, the students have completed one-third of the problems. We don't know how many that is, nor do we care. Now, on the next day, they must complete twice as many as they had done, which is twice of one-third, or the next two-thirds. Therefore, on the sixth day, they complete the other two-thirds of the problems. Which means all of the problems are done. So it takes six days to complete all of the HW.
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