- Mrs Adesso wants to take her class on a trip to cither the science center or natural history muscum. The science center chames \( \$ 7 \) per student, plus \( \$ 75 \) for a guided tour. The natural history museum charges \( \$ 8 \) per student, plus \( \$ 50 \) for a gulded tour. For what number of students is the cost of the trip the same at each museum?

To find the number of students where the trip costs the same at both locations, we can set up the equations for both museums: For the science center, the total cost is: \( C_{science} = 7x + 75 \) For the natural history museum, the total cost is: \( C_{natural} = 8x + 50 \) Setting these two equations equal to each other: \( 7x + 75 = 8x + 50 \) Solving for \( x \): Subtract \( 7x \) from both sides: \( 75 = x + 50 \) Subtract 50 from both sides: \( 25 = x \) So, when there are 25 students, the cost of the trip will be the same for both museums. Now, how about a fun tidbit? Did you know that field trips help enhance students’ learning experiences? Studies show that hands-on experiences in settings like science centers or museums can boost retention and spark curiosity. Plus, it's not just about learning; it's also about building camaraderie among classmates! If you’re planning a trip, remember to check for group discounts! Many museums offer special pricing for schools which can significantly reduce costs. Additionally, always confirm the maximum group sizes for guided tours to ensure everyone gets the best experience!