There were 8000 jelly beans in a certain barrel, and 10 people lined up to take some. The first six people each took twice as many jelly beans as each of the last four people took. If the last four people each took 400 jelly beans, how many jelly beans remained in the container?
Thoughts? Step-by-step reasoning:
If the last four people each took 400 jelly beans, they took a total of 4 * 400 = 1600 jelly beans. The first six people each took twice as many jelly beans as each of the last four people took, meaning each of them took 2 * 400 = 800 jelly beans. The total number of jelly beans the first six people took is 800 * 6 = 4800 jelly beans. Together, all 10 people took together 4800 + 1600 = 6400 jelly beans. If there were 8000 jelly beans in a certain barrel, the number of jelly beans that remained is 8000 - 6400 = 1600.
Thus, the answer is 1600.