Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Each of those days, they practice for 3 hours in the morning and practice again in the afternoon. They practice for a total of 20 hours each week. Which equation can you use to find h, the length of each afternoon practice in hours? Choices: (A)3(h + 4) = 20 (B)4h + 3 = 20 (C)4(h + 3) = 20 (D)3h + 4 = 20 How long is each afternoon practice? Write your answer as a whole number or a simplified fraction. ____ hours

Question

Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Each of those days, they practice for 3 hours in the morning and practice again in the afternoon. They practice for a total of 20 hours each week. Which equation can you use to find h, the length of each afternoon practice in hours?   Choices: (A)3(h + 4) = 20 (B)4h + 3 = 20 (C)4(h + 3) = 20 (D)3h + 4 = 20  How long is each afternoon practice? Write your answer as a whole number or a simplified fraction.   ____ hours

Bytelearn · Accepted Answer

Understand the problem: Understand the problem and what is given. Valentina's swim team practices 4 days a week for a total of 20 hours. Each day includes a 3-hour morning practice and an afternoon practice of unknown length h. We need to find the equation that represents this situation and solve for h.Set up the equation: Set up the equation based on the given information. We know that the team practices 4 days a week and that each day includes a morning practice of 3 hours and an afternoon practice of h hours. The total weekly practice time is 20 hours. So, the equation should account for 4 days of both morning and afternoon practices.Write the equation: Write the equation. The total practice time for the morning sessions over the 4 days is 4 days * 3 hours/day = 12 hours. The total practice time for the afternoon sessions over the 4 days is 4 days * h hours/day. The sum of the morning and afternoon practice times is equal to the total weekly practice time of 20 hours. Therefore, the equation is: 12 + 4h = 20Solve for h: Solve the equation for h. Subtract 12 from both sides of the equation to isolate the term with h: 12 + 4h - 12 = 20 - 12 4h = 8 Now, divide both sides by 4 to solve for h: 4h / 4 = 8 / 4 h = 2Check the solution: Check the solution. Plug h = 2 back into the equation to verify that it satisfies the total weekly practice time: 12 + 4(2) = 12 + 8 = 20 Since the left side equals the right side, our solution is correct.

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