Final answer:
To find out the number of pieces of the more expensive candy she bought, we can solve a system of equations using the given information. By solving the system, we find that she bought 250 pieces of the more expensive candy.
Step-by-step explanation:
To find out how many pieces of the more expensive candy she bought, we need to determine how much money she spent on each type of candy. Let's assume she bought x pieces of the first type which costs $0.10 each, and y pieces of the second type which costs $0.25 each. From the given information, we know that the total number of pieces of candy she bought is 550, so we can write the equation: x + y = 550. We also know that she spent $100 in total, so we can write another equation: 0.10x + 0.25y = 100. We can solve this system of equations to find the values of x and y, which will give us the number of pieces of each type of candy she bought. By solving the system, we find that x = 300 and y = 250. Therefore, she bought 250 pieces of the more expensive candy.