Question

When a number is decreased by 8 percent, the result is 79. What is the original number to the nearest tenth?

A) 86.8
B) 86.7
C) 90.1
D) 80.0

Answer 1

To find the original number, divide 79 by (1 - 8%). The original number to the nearest tenth is approximately 86.9.

Step-by-step explanation:

To find the original number, we can work backwards from the given information. Since the number is decreased by 8 percent, the result is 79. To find the original number, we divide 79 by (1 - 8%).

Step 1: Convert 8% to decimal form: 8% = 0.08

Step 2: Calculate the original number:
Original number = 79 ÷ (1 - 0.08) = 79 ÷ 0.92 ≈ 85.87

Therefore, the original number to the nearest tenth is approximately 86.9.