Bunuel wrote:
Due to a 25% increase in the price of diesel, a person got 10 liters less quantity for $50 than he was getting before the increase. What was the initial price per liter of diesel?
(A) $1.00
(B) $1.50
(C) $2.25
(D) $2.50
(E) $3.00
Test answer choices. Start with (A) or (E). They have round numbers.
Choice (A). Total price / price per liter = number of liters.
For $50, at $1.00 per liter, \(\frac{50}{1}\) = 50 liters.
A 25% increase in price is $1 * 1.25 = $1.25 per liter.
New quantity at higher price is\(\frac{50}{1.25}\) = 40 liters.
At increased price, she got 10 less liters in quantity. (50-10) = 40. That satisfies the question's condition. Initial price per liter of diesel
(BTW, Bunuel, I think you signal, cleverly, an odd rule about "less" vs. "fewer" when what we normally think of as countable quantities are involved. Cross pollination for weary brains.
)
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