Question a-bowl
A bowl contains ounces of water. When the bowl is uncovered, the amount of water in the bowl decreases by ounce every days. If ounces of water remain in this bowl, for how many days has it been uncovered?
A bowl contains 20 ounces of water. When the bowl is uncovered, the amount of water
Hard-difficulty · SAT Math · Linear Equations in One Variable — Word problems → single variable. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice D is correct. It’s given that the bowl starts with ounces of water and has ounces of water remaining after a period of time has passed. The amount of water the bowl has lost during the time period can be found by subtracting the remaining amount of water from the amount of water the bowl starts with, which yields ounces, or ounces. This means the bowl loses ounces of water during that period of time. It’s given that the amount of water decreases by ounce every days. Letting represent the number of days the bowl has been uncovered, it follows that . Multiplying both sides of this equation by yields . Therefore, the bowl has been uncovered for days.
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect. This is the value of for the equation , not .
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