Answer:
33
Step-by-step explanation:
Let's just give things vaiables and see how it goes. let's call the number of candy pieces Alan has A and the ones Noah has N. now, it tells us A = 5 + 2N, five more than twice Noah's. it also tells us that A + N is at least 47. or in other words A + N ≥ 47
Well, we know what A is in terms of N so let's use that instead.
A + N ≥ 47
5 + 2N + N ≥ 47
Now let's solve with algebra.
5 + 2N + N ≥ 47
5 + 3N ≥ 47
3N ≥ 47 - 5
3N ≥ 42
N ≥ 14
Then going back to Alan's candy let's plug 14 in for N, because we know that Noah has to have at least 14
A + N ≥ 47
A + 14 ≥ 47
A ≥ 33
So that tells us Alan must have at least 33. If there's something you didn't get don't hesitate to ask.
