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On the last day of her summer tennis camp, Kathleen helps her instructor sort through a basket of tennis balls to throw out the old ones. Kathleen ends up throwing away 1515 of the balls. She returns the remaining 5757 balls to the basket.\newlineWhich equation can you use to find the total number of tennis balls tt Kathleen checks?\newlineChoices:\newline(A) t15=57\frac{t}{15} = 57\newline(B) t+15=57t + 15 = 57\newline(C) t15=57t - 15 = 57\newline(D) 15t=5715t = 57\newlineSolve this equation for tt to to find the total number of tennis balls Kathleen checks.\newline____\_\_\_\_ tennis balls

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Q. On the last day of her summer tennis camp, Kathleen helps her instructor sort through a basket of tennis balls to throw out the old ones. Kathleen ends up throwing away 1515 of the balls. She returns the remaining 5757 balls to the basket.\newlineWhich equation can you use to find the total number of tennis balls tt Kathleen checks?\newlineChoices:\newline(A) t15=57\frac{t}{15} = 57\newline(B) t+15=57t + 15 = 57\newline(C) t15=57t - 15 = 57\newline(D) 15t=5715t = 57\newlineSolve this equation for tt to to find the total number of tennis balls Kathleen checks.\newline____\_\_\_\_ tennis balls
  1. Define total number of balls: Let's define the total number of tennis balls that Kathleen checks as tt. Since Kathleen throws away 1515 balls and is left with 5757 balls, we can express the relationship between the total number of balls and the remaining balls with the equation t15=57t - 15 = 57. This is because the total number of balls minus the 1515 balls thrown away should equal the 5757 balls that are left.
  2. Solve equation for total: Now, we need to solve the equation t15=57t - 15 = 57 for tt to find the total number of tennis balls Kathleen checks. To do this, we add 1515 to both sides of the equation to isolate tt on one side.\newlinet15+15=57+15t - 15 + 15 = 57 + 15\newlinet=72t = 72
  3. Check solution: We should check our solution to ensure there are no math errors. If we substitute tt with 7272 in the equation t15=57t - 15 = 57, we get:\newline7215=5772 - 15 = 57\newline57=5757 = 57\newlineThis is a true statement, so our solution is correct.

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