At a shoe store. 3,809 pairs of shoes were sold in a month The store also sold 5 times as many pairs of sneakers as pairs of sandals. The remaining pairs of shoes sold were boots. What was the least possible number of pairs of boots sold?
3809 = 6*634 + 5
so at least 5 boots
To find the least possible number of pairs of boots sold, we need to determine the maximum number of pairs of sneakers and sandals sold.
Let's assume the number of pairs of sandals sold as 'x'.
According to the given information, the store sold 5 times as many pairs of sneakers as pairs of sandals, which means the number of pairs of sneakers sold would be 5x.
Now, to determine the number of boots sold, we need to subtract the sum of sandals and sneakers from the total number of shoes sold.
Total number of shoes sold = Number of sandals + Number of sneakers + Number of boots
3809 = x + 5x + Number of boots
Simplifying the equation, we get:
3809 = 6x + Number of boots
Now, we need to minimize the number of boots. To do that, we need to maximize the values of x.
Since the minimum value for x must be 0 (as it cannot be negative), we can substitute x = 0 into the equation:
3809 = 6(0) + Number of boots
3809 = 0 + Number of boots
Therefore, the least possible number of pairs of boots sold would be 3809.
In conclusion, the least possible number of pairs of boots sold at the shoe store would be 3809.
To find the least possible number of pairs of boots sold, we need to know the number of pairs sold for each type of shoe (sneakers, sandals, and boots).
Let's assume the number of pairs of sandals sold as "x".
Given that the store sold 5 times as many pairs of sneakers as pairs of sandals, the number of pairs of sneakers sold would be 5x.
Now, we can calculate the number of pairs of boots sold by subtracting the total number of pairs of sandals and sneakers sold from the total number of pairs of shoes sold.
Total pairs of shoes sold = 3,809
Total pairs of sandals sold = x
Total pairs of sneakers sold = 5x
Number of pairs of boots sold = Total pairs of shoes sold - Total pairs of sandals sold - Total pairs of sneakers sold
Number of pairs of boots sold = 3,809 - x - 5x
To find the least possible number of pairs of boots sold, we need to minimize the value of 3,809 - x - 5x.
The minimum value would occur when "x" is maximum. Since the number of pairs of sandals is non-negative, the maximum value for "x" would be 0.
Therefore, the least possible number of pairs of boots sold would occur when there were no pairs of sandals sold. Thus, the minimum number of pairs of boots sold would be:
Number of pairs of boots sold = 3,809 - x - 5x
Number of pairs of boots sold = 3,809 - 0 - 5(0)
Number of pairs of boots sold = 3,809
So, the least possible number of pairs of boots sold would be 3,809.