What is the remaining acres after removing street area from a 100-acre tract if streets take 1/8?

What is the remaining acres after removing street area from a 100-acre tract if streets take 1/8?

• A. 87.5
• B. 92.5
• C. 75
• D. 100

Answer: (A)

When you remove a portion of land that’s set aside for streets, you keep the rest, which is the complement of that portion. If streets take 1/8 of the tract, you’re left with 1 − 1/8 = 7/8 of the land. Apply that to the 100-acre tract: 100 × 7/8 = 700/8 = 87.5 acres. So the remaining acres are 87.5. Why the other options don’t fit: 92.5 would mean only 7.5 acres were removed, not 12.5 (1/8 of 100). 75 would imply 25 acres removed (1/4 of the tract). 100 would mean nothing was removed.

When you remove a portion of land that’s set aside for streets, you keep the rest, which is the complement of that portion. If streets take 1/8 of the tract, you’re left with 1 − 1/8 = 7/8 of the land. Apply that to the 100-acre tract: 100 × 7/8 = 700/8 = 87.5 acres. So the remaining acres are 87.5.

Why the other options don’t fit: 92.5 would mean only 7.5 acres were removed, not 12.5 (1/8 of 100). 75 would imply 25 acres removed (1/4 of the tract). 100 would mean nothing was removed.