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33 votes
33 votes
Ninety percent of a large field is cleared for planting. Of the cleared land, 50 percent is planted with blueberry plants and 40 percent 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?*

User Florin Secal
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1 Answer

24 votes
24 votes

For the given question, let the size of the original field = x

Ninety percent of a large field is cleared for planting

So, the size of the cleared land = 90% of x = 0.9x

50 percent is planted with blueberry plants and 40 percent is planted with strawberry plants.

So, the size of the land planted with blueberry plants and strawberry plants =


0.5\cdot0.9x+0.4\cdot0.9x=0.45x+0.36x=0.81x

The remaining will be = 0.9x - 0.81x = 0.09x

Given: the remaining 360 acres of cleared land is planted with gooseberry plants

so,


0.09x=360

divide both sides by (0.09) to find x:


x=(360)/(0.09)=4,000

So, the answer will be:

The size of the original field = 4,000 acres

User Cody Toombs
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