Suppose that Andrea told you that "Blake and I started out with the same number of marbles, but I gave him one of mine. Now Blake has one more marble than me." Why is Andrea's reasoning incorrect? How can you address her misunderstanding? Choose the answer below that best explains the misunderstanding. A. Andrea meant to say that after giving Blake one of her marbles, she would have one less than Blake. B. Andrea has one less than she started with. Blake has one more than he started with. Therefore, Blake has two more than Andrea. C. Blake needs to take one of his marbles away first. Then, Andrea can give him one of hers. Thus, Blake will have one more than Andrea. D. Andrea meant to say that she took one of her marbles away and not give it to Blake. Therefore, Blake would only have one more than her.
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Let’s unwrap this marble mystery! When Andrea gave Blake one marble, she thought they'd still be equal, but lo and behold, Blake ended up with more! To clarify her misunderstanding, it’s simple: Andrea started with 'X' marbles. After giving one away, she has 'X-1,' and Blake, gaining one, has 'X+1.' So, instead of both having the same, Blake is now two marbles ahead! To tackle this confusion, it’s best to think in terms of equations: If they both started with the same amount, and then marble-shenanigans ensued, it leads to a fun discrepancy where simple subtraction shows that Blake is indeed not just one but two marbles ahead. Visual aids or drawing can also help Andrea see the marbles in action!
