Jose is selling peanuts at the carnival. The original bag he purchased weighs 6 3/4 lbs. If the bags he plans on selling will weigh 1/2 lb each, what is the maximum number of full 1/2 lb bags that he can sell? Please provide an answer and explain.

13 bags

Step-by-step explanation:

1: If he has 6 3/4 lbs to start with, this is 6.75 lbs, as 3/4 = 0.75.

2: He wants the new bags to be 1/2 lb, which is 0.5 lbs.

3: If we divide 6.75 by 0.5, we get the exact number of bags he could have - 13.5.

4: However, the bags must be full, so we have to disregard that extra 0.5 bags, and say he can completely fill 13 bags.

Hope this helps! Let me know if you have any questions :)

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

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