Statistics, Data, and Probability II: Drill Set 2, Problem 4. Based on the following percentage breakdown of floor spaces for two homes, which of the following is true?
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We just have to go through the potential answers here one by one until we can crown a winner.
So… A. “Both houses have the same amount of kitchen and bath space.”
Both houses have the same PERCENTAGE of square feet in their kitchen and bathroom
– but the 2nd house is twice the size of the first – so A is false.
B. “House 1 has more bedroom space than house 2."
Same as A - house 1 is bigger on a percentage basis, but because house 2 is twice the size,
B is false as well.
Ok… C. “House 1 has half the bedroom space of house 2.”
Well, no. The percentages are different – if they’d both been 40% then yeah, C would
be true, but in this case… nope.
D. “The two homes' living rooms have a combined floor space of 1,000 square feet.”
Well, let’s do the math.
35% of a 2,000 square foot home is 700 square feet… and then 30% of a 1,000 square foot
home is 300 square feet – add ‘em and we indeed have a thousand.
Ding ding ding! The answer is D.