Final answer:
Valery initially spent 1/5 of her money on 8 pencils and 2 markers and used 5/8 of her remaining money to buy more markers. After calculating, she ends up buying 17 markers in total, but this number does not match any of the given options, which suggests an issue with the question or provided options.
Step-by-step explanation:
To solve the problem of how many markers Valery bought in total, we must first determine the cost of pencils and markers initially purchased and then how much money she spent on additional markers.
Let's say Valery started with an amount of money represented as 5x. She spent 1/5 of her money, which is x, on 8 pencils and 2 markers. If each marker costs twice as much as each pencil, we can assume the cost of each pencil is p and the cost of each marker is 2p. Therefore, 8p + 2(2p) = x. Simplifying this, we get 8p + 4p = x, which means 12p = x. So, one pencil costs x/12, and one marker costs 2x/12 = x/6.
After the initial purchase, Valery has 4x left. She uses 5/8 of this amount to buy more markers. Hence, she spends (5/8)(4x) = 5x/2 on additional markers. Since one marker costs x/6, she can buy (5x/2) / (x/6) markers, which simplifies to 15 markers.
Adding the initial 2 markers to the 15 markers bought later, Valery purchased 17 markers in total. However, since the provided options do not include 17, we must assume that the question had an internal error or missing information, as the answer does not match any of the given options.