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The basketball team sold t-shirts and hats as fund-raiser. They sold a total of 23 and made a profit of $ 246. They made a profit of $10 for every t-shirt they sold and $12 for every hat they sold.

User Bouscher
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2 Answers

5 votes

Final answer:

The basketball team sold 15 t-shirts and 8 hats as a fundraiser.

Step-by-step explanation:

The basketball team sold a total of 23 t-shirts and hats as a fundraiser. They made a profit of $246. Let's say they sold x t-shirts and y hats. According to the given information, we can set up the following equations:

x + y = 23

10x + 12y = 246

We can solve these equations using the method of substitution or elimination. Let's use the method of elimination:

  1. Multiply the first equation by 10 to make the coefficients of x in both equations the same: 10x + 10y = 230
  2. Subtract the modified first equation from the second equation to eliminate x: (10x + 12y) - (10x + 10y) = 246 - 230
  3. Simplify the equation: 2y = 16
  4. Divide both sides of the equation by 2 to solve for y: y = 8
  5. Substitute the value of y into the first equation to solve for x: x + 8 = 23
  6. Subtract 8 from both sides of the equation: x = 15

Therefore, they sold 15 t-shirts and 8 hats.

User Usman Riaz
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6.0k points
4 votes

You are just gonna have to figure it out. It could be many different answers

User Matt Colliss
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