Question

Difficulty: MediumCalculating Percentages of Quantities

A base cyber operations squadron is tasked with installing a critical security update on 2,5002,500 network terminals. If they have completed 68%68\% of the installations by the end of the day, how many network terminals still need to be updated?

Answer: 800 terminals

Answer

800 terminals
The total number of terminals is 2,500, which represents 100%. If 68% are updated, 32% remain. 32% of 2,500 is found by multiplying 0.32 by 2,500, which equals 800.

Step-by-Step Solution

1
Calculate the percentage of terminals that still need to be updated.
100%−68%=32%100\% - 68\% = 32\%
Since 68% are already updated, the rest represent the remaining terminals.
2
Calculate 32% of the total 2,500 terminals.
0.32×2,500=8000.32 \times 2,500 = 800
To find the actual number of remaining terminals, multiply the remaining percentage by the total number of terminals.

Key Concept

Calculating the remaining percentage of a total quantity in a multi-step word problem.
Estimated Time:1m 0s
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