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Ninety percent of a large field is cleared for planting. Of the cleare [#permalink]
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20 Mar 2018, 23:13
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Ninety percent of a large field is cleared for planting. Of the cleared land, 50% is planted with blueberry plants and 40% is planted with strawberry plants. If the remaining 360 acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field? (A) 2,916 (B) 3,240 (C) 3,600 (D) 4,000 (E) 8,000
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Re: Ninety percent of a large field is cleared for planting. Of the cleare [#permalink]
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21 Mar 2018, 00:52
Bunuel wrote: Ninety percent of a large field is cleared for planting. Of the cleared land, 50% is planted with blueberry plants and 40% is planted with strawberry plants. If the remaining 360 acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field?
(A) 2,916 (B) 3,240 (C) 3,600 (D) 4,000 (E) 8,000 IMO D. 10 % of remaining cleared field is 360 acres. cleared field is 90% of original land. Hence 10% of 90% of original land = 360 acres \(0.1 * 0.9 * x = 360\) \(x = 360 * 100 /9\) \(x = 4000\) acres Hence Option D.Best, Gladi



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Re: Ninety percent of a large field is cleared for planting. Of the cleare [#permalink]
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25 Mar 2018, 22:01
Bunuel wrote: Ninety percent of a large field is cleared for planting. Of the cleared land, 50% is planted with blueberry plants and 40% is planted with strawberry plants. If the remaining 360 acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field?
(A) 2,916 (B) 3,240 (C) 3,600 (D) 4,000 (E) 8,000 Given : Let the original land area be X. 0.9*0.1* X = 360 X = 4000 Option D.
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Re: Ninety percent of a large field is cleared for planting. Of the cleare [#permalink]
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03 Apr 2018, 10:20
Bunuel wrote: Ninety percent of a large field is cleared for planting. Of the cleared land, 50% is planted with blueberry plants and 40% is planted with strawberry plants. If the remaining 360 acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field?
(A) 2,916 (B) 3,240 (C) 3,600 (D) 4,000 (E) 8,000 We can use backsolving here: Start with the easiest answer choice (D) Say the original area of field = 4000 acres 90% of 4000 = 3600 acres Blueberry plants = 50% of 3600 = 1800 acres Strawberry plants = 40% of 3600 = 1440 acres BB + SB = 3240 acres Cleared area  (BB + RB) = 360 3600  (1800 + 1440) = 360 360 = 360 Hence (D)
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Re: Ninety percent of a large field is cleared for planting. Of the cleare [#permalink]
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09 Apr 2018, 16:36
Bunuel wrote: Ninety percent of a large field is cleared for planting. Of the cleared land, 50% is planted with blueberry plants and 40% is planted with strawberry plants. If the remaining 360 acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field?
(A) 2,916 (B) 3,240 (C) 3,600 (D) 4,000 (E) 8,000 We can let the area of the original field = n, and thus 0.9n = the area of the cleared field, and create the equation: (0.5)(0.9n) + (0.4)(0.9n) + 360 = 0.9n 0.45n + 0.36n + 360 = 0.9n 0.81n + 360 = 0.9n 360 = 0.09n 36,000 = 9n 4,000 = n Alternate Solution: Let n = the total acreage of the field. We know that 90% of the field is cultivated, and 90% of that cultivation is used for blueberries and strawberries. Thus, 10% of the 90% of the field is cultivated with gooseberries, and this represents 360 acres. Thus, we have: (0.10)(0.90)n = 360 0.09n = 360 n = 4,000 Answer: D
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