This year, the number of subscribers to Skateboard Magazine is 4,256, which represents an increase of 28% over last year. How many subscribers did the magazine have last year?
The magazine had 3,325 subscribers last year.
To find the number of subscribers last year, we can use the formula for calculating the original amount before a percentage increase. If 4,256 represents a 28% increase, we can deduce the original number by solving for it in the equation: 4,256 = x + 0.28x, which simplifies to x = 3,325.
This option is incorrect because if the magazine had 5,448 subscribers last year, an increase of 28% would lead to a much higher subscriber count than 4,256. Calculating 28% of 5,448 (which is about 1,527) would result in a total of 6,975 subscribers, which does not match the given number.
Choosing 4,228 as the number of last year's subscribers would imply a smaller increase than 28%. When calculating the increase from 4,228, we find that 28% amounts to about 1,183, which when added to 4,228 results in approximately 5,411—much higher than 4,256, making this option invalid.
This choice is correct. By calculating the original number of subscribers, we find that if Skateboard Magazine had 3,325 subscribers last year, a 28% increase (which is 930) would bring the total to 4,256. This satisfies the problem's conditions.
If last year's subscribers were 3,064, the 28% increase would be approximately 857, resulting in a total of about 3,921 subscribers. This total is significantly lower than the stated 4,256, rendering this option incorrect.
In summary, the calculation of last year's subscribers from a current count of 4,256 with a 28% increase shows that the correct figure is 3,325. The other options either exceed or fall short of this total, confirming that only option C accurately reflects the magazine's subscriber numbers from last year.
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