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She buys $100 worth of two types of candy. one type of candy cost $.10 apiece and another type cost $.25 apiece if she bought 550 pieces of candy in total how many pieces of the more expensive candy did she buy. a) 200 pieces

b) 250 pieces
c) 150 pieces
d) 300 pieces

1 Answer

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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.

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