Question

Senior trip to Sun Splash. 427 seniors ride in 17 vehicles. Busses hold 35 passengers, and vans hold 7. All vehicles are completely full. How many of each type of vehicle were used? Busses: 1 Vans: 1​

Answer 1

To determine the number of buses and vans used for the senior trip to Sun Splash, we can set up a system of equations and solve for the variables. In this case, the number of buses is 5 and the number of vans is 12.

Step-by-step explanation:

In order to determine the number of buses and vans used, we need to set up a system of equations based on the given information.

Let x be the number of buses used.

Let y be the number of vans used.

From the problem, we know that:

• The total number of seniors is 427.
• The number of seniors that can be accommodated in one bus is 35.
• The number of seniors that can be accommodated in one van is 7.

Using these equations, we can set up the following system:

x + y = 17 (equation 1)

35x + 7y = 427 (equation 2)

We can solve this system of equations using the method of substitution or elimination to find the values of x and y.

After solving the system, we find that x = 5 and y = 12.

Therefore, 5 buses and 12 vans were used for the senior trip to Sun Splash.