19.07.2022 - 02:37

The bookstore at SunTan U had a sale on school t-shirts. Thursday, they sold 52 of the marked down t-shirts for a total of $482.50. If the women’s shirts were on sale for $9.50 and the men’s shirts were on sale for $9.00, how many of each was sold on Thur

Question:

The bookstore at SunTan U had a sale on school t-shirts. Thursday, they sold 52 of the marked down t-shirts for a total of $482.50. If the women’s shirts were on sale for $9.50 and the men’s shirts were on sale for $9.00, how many of each was sold on Thursday?

Answers (1)
  • Joyce
    April 9, 2023 в 19:59
    Let's start by assigning variables to the unknowns we need to find: - Let's use "W" for the number of women's shirts sold - Let's use "M" for the number of men's shirts sold We know that a total of 52 shirts were sold on Thursday, so: W + M = 52 We also know the total amount of money earned from these sales was $482.50. If we multiply the number of women's shirts sold by their price ($9.50) and the number of men's shirts sold by their price ($9.00), we get the total amount earned: 9.50W + 9.00M = 482.50 Now we have two equations with two variables, which we can solve using algebraic methods. One way to start is by simplifying the first equation: W + M = 52 W = 52 - M Now we can substitute this expression for W into the second equation: 9.50W + 9.00M = 482.50 9.50(52 - M) + 9.00M = 482.50 Distributing the 9.50: 494 - 9.50M + 9.00M = 482.50 Simplifying: 494 - 0.50M = 482.50 Subtracting 494 from both sides: -0.50M = -11.50 Dividing by -0.50: M = 23 So 23 men's shirts were sold on Thursday. We can use the first equation to find the number of women's shirts: W + M = 52 W + 23 = 52 W = 29 Therefore, 29 women's shirts were sold on Thursday.
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