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Reverse Plugging In: Not Sure In Which Direction To Go

Anna has three times as many gumballs as Marie. If Anna gives four gumballs to Marie, Marie will have as many gumballs as Anna. How many gumballs does Marie have?
Incorrect. [[snippet]] Eliminate this option because $$1 \times 3 \lt 4$$, so Anna does not have four gumballs to give.
Incorrect. [[snippet]] If Marie has three gumballs then Anna has nine ($$3 \times 3$$). Based on this, if Anna gives four gumballs to Marie, Anna will have five ($$9 - 4$$) gumballs and Marie will have seven ($$3 + 4$$) gumballs. Since the number of gumballs Anna and Marie each have, after Anna gives four gumballs to Marie, is NOT equal in this case, this is NOT the correct answer. __POE__ and move on.
Incorrect. [[snippet]]
Correct. [[snippet]] If Marie has four gumballs then Anna has 12 ($$3 \times 4$$). Based on this, if Anna gives four gumballs to Marie, Anna will have eight ($$12 - 4$$) gumballs and Marie will have eight ($$4 + 4$$) gumballs. Since the number of gumballs Anna and Marie each have, after Anna gives four gumballs to Marie, is equal in this case, this is the correct answer.
Incorrect. [[snippet]]
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