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Joined: 20 Feb 2017
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Re: Each of the pair of shoes available in a store is either Reebok or Adi
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10 Apr 2023, 09:43
Let's denote the percentage of Reebok shoes in the store as "R" and the percentage of Adidas shoes in the store as "A".
Given that 10% of Reebok shoes and 15% of Adidas shoes are on sale, we can calculate the percentage of the store's stock that is on sale as the sum of these two percentages:
10% of R + 15% of A = 12%
Now, let's assume that the percentage of the store's stock that is not on sale is "x". Since the total percentage must add up to 100%, we can write:
100% - 12% = x
x = 88%
This means that 88% of the store's stock is not on sale.
Since the store's stock is composed of either Reebok or Adidas shoes, the sum of the percentages of Reebok and Adidas shoes must be 100%:
R + A = 100%
Now we can solve these two equations simultaneously to find the percentage of Adidas shoes in the store:
10% of R + 15% of A = 12%
R + A = 100%
Using these equations, we can solve for A, the percentage of Adidas shoes:
10% of R + 15% of A = 12%
0.10R + 0.15A = 12% (dividing both sides by 100 to convert percentages to decimals)
R + A = 100%
R = 100% - A (rearranging the second equation to express R in terms of A)
0.10(100% - A) + 0.15A = 12% (substituting R from the rearranged second equation into the first equation)
10% - 0.10A + 0.15A = 12%
0.05A = 2%
A = (2% / 0.05) = 40%
So, the percentage of the store's stock that is composed of Adidas shoes is 40%.