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)3h + 4 = 20 (B)4h + 3 = 20 (C)4(h + 3) = 20 (D)3(h + 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)3h + 4 = 20 (B)4h + 3 = 20 (C)4(h + 3) = 20 (D)3(h + 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. Valentina's swim team practices 4 days a week for a total of 20 hours. Each day includes a 3-hour morning practice. We need to find the length of each afternoon practice.Translate equation: Translate the given information into an equation. The total weekly practice time is 20 hours. This includes 4 days of morning practices, each lasting 3 hours, and 4 days of afternoon practices of unknown length h. The equation should represent the total practice time.Set up equation: Set up the equation. The morning practices contribute 4 days * 3 hours/day = 12 hours to the total weekly practice time. The afternoon practices contribute 4 days * h hours/day. The sum of the morning and afternoon practices should equal the total practice time of 20 hours.Write equation: Write the equation. The equation that represents the total practice time is 12 + 4h = 20, where h is the length of each afternoon practice.Solve for h: Solve the equation for h. Subtract 12 from both sides of the equation to isolate the term with h: 4h = 20 - 12 4h = 8 Now, divide both sides by 4 to solve for h: h = 8 / 4 h = 2Check solution: Check the solution. Substitute h = 2 back into the equation to verify: 12 + 4(2) = 12 + 8 = 20 The left side equals the right side, so the solution h = 2 is correct.

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