Question

Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.​

Answer 1

The ratio of students in the van to students on the bus is 2:5. Using this information, we can determine the number of students in the van and on the bus. When 2 students move from the van to the bus, we can also calculate the new number of students in each vehicle.

Step-by-step explanation:

The ratio of students in the van to students on the bus going to the museum is 2:5. Let's assume that there are 2x students in the van and 5x students on the bus. We know that the total number of students is 56, so we can set up an equation: 2x + 5x = 56. Combining like terms, we get 7x = 56. Dividing both sides by 7, we find that x = 8.

Now we can determine the number of students in the van and on the bus. The number of students in the van is 2x = 2(8) = 16, and the number of students on the bus is 5x = 5(8) = 40.

When 2 students move from the van to the bus, the number of students on the bus becomes 40 + 2 = 42, and the number of students in the van becomes 16 - 2 = 14.

Answer 2

I think we are missing part of the question.

But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.

On the way home, it was 14 students in the van and 42 students in the bus, the ratio changes to 1:3