You are developing a parcel of land containing 369 acres. If 1⁄5 of the land must be set aside for streets, and each plot of land for building homes will be 5⁄8 of an acre, how many plots of land will be available to build homes?

Question

Mathematics

Hayden Burns

19 June, 03:24

You are developing a parcel of land containing 369 acres. If 1⁄5 of the land must be set aside for streets, and each plot of land for building homes will be 5⁄8 of an acre, how many plots of land will be available to build homes?

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Dahlia Cox · Answer 1

Start with 369 acres.

1/5 of 369 acres will be streets.

1/5 of 368 acres = 1/5 * 369 acres = 369 acres/5 = 73.8 acres

73.8 acres will be streets, so we subtract 73.8 acres from 369 acres to find what is left for homes.

369 acres - 73.8 acres = 295.2 acres

295.2 acres will be for homes.

Each home will use 5/8 of an acre. To find the number of plots for homes, we divide the total area dedicated to homes by the area of one plot of land.

295.2 / (5/8) = 295.2/0.625 = 472.32

Answer: There will be 472 plots.