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Plugging In: Invisible Plugging In - Fractions

Country _A_ spends one-third of its budget on development, one-third on defense, one-sixth on loan repayment, and the remainder on miscellaneous expenses. Country _B_ spends one-eighth of its budget on development, one-fourth on defense, and one-fourth on loan repayment. If Country _B_'s annual budget is four times that of Country _A_, Country _A_'s development budget is what fractional part of Country _B_'s development budget?
Incorrect. [[snippet]]
Incorrect. [[snippet]] The question asks: >Country _A_'s development budget is what _fractional part of_ Country _B_'s development budget? So you must divide Country _A_'s development budget by Country _B_'s development budget, not vice versa. Careful reading and translating of the question is the key to a good score on the GMAT.
Correct. [[snippet]] The invisible variable is Country _A_'s budget, therefore __Plug In__ a good number for it. But before you go on to multiplying the bottoms, re-read what the question is asking—it's looking for the relationship of both countries' developmental budgets. Before we go any further, did you take the time to figure out all the budget expenses of either Country _A_ or Country _B_?
Incorrect [[snippet]]
Incorrect. [[snippet]]
Well, figuring all of Country _A_'s and Country _B_'s budget expenses isn't necessary—to say the least. That's just the GMAT being itself, providing needless details that throw you out of focus. Therefore, make sure that your good number for Country _A_'s budget gets along with $$\frac{1}{3}$$ (Country _A_'s development budget) and $$\frac{1}{8}$$ (Country _B_'s development budget). For instance, choose $$3 \times 8 = 24$$. In that case, >Country _A_'s development budget would be $$\frac{1}{3} \times 24 = 8$$, and >Country _B_'s budget would be $$4 \times 24 = 96$$, and its development budget would be $$\frac{1}{8} \times 96 = 12$$. Thus, Country _A_'s development budget is $$\frac{8}{12}$$, or $$\frac{2}{3}$$, of Country _B_'s development budget.
$$\frac{1}{24}$$
$$\frac{3}{32}$$
$$\frac{2}{3}$$
$$\frac{3}{2}$$
$$\frac{32}{3}$$
I kind of did….
I wanted to at first, but I came to my senses early.