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21 Mar 2020, 23:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (01:32) correct
12%
(02:14)
wrong
based on 50
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A certain olive orchard produces 315 gallons of oil annually, on average, during four consecutive years. How many gallons of oil must the orchard produce annually, on average, during the next six years, if oil production for the entire 10-year period is to meet a goal of 378 gallons per year?
(A) 240
(B) 285
(C) 396
(D) 420
(E) 468
(A) 240
(B) 285
(C) 396
(D) 420
(E) 468
22 Mar 2020, 00:27
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We should compute how much oil is produced in 4 years and 6 years and that should equal the total oil produced in 10 years.
this results in the equation
315 * 4 + x * 6 = 378 * 10
1260 + 6x = 3780
6x = 2520
x = 420
Answer is D.
cheers
this results in the equation
315 * 4 + x * 6 = 378 * 10
1260 + 6x = 3780
6x = 2520
x = 420
Answer is D.
cheers
22 Mar 2020, 07:58
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Solution
Given
In this question, we are given that
- • A certain olive orchard produces 315 gallons of oil annually, on average, during four consecutive years
To find
We need to determine
- • The volume of oil that must be produced annually, on average, during the next six years, if oil production for the entire 10-year period is to meet a goal of 378 gallons per year
Approach and Working out
As the 10-year period average is 378 gallons per year,
- • Total production aimed in 10 years = (378 x 10) gallons = 3780 gallons
The average production per year for the first 4 years is 315 gallons
- • Total production in the first 4 years = (315 x 4) gallons = 1260 gallons
Hence, required total production in the next 6 years = (3780 – 1260) gallons = 2520 gallons
- • Therefore, average yearly production aimed = 2520/6 gallons = 420 gallons
Thus, option D is the correct answer.
Correct Answer: Option D
