All 231 students in the math club went on a field trip some students Road in bands which hold seven students each and some students Road and buses which hold 25 through and see how many of each type of vehicle did they use if there were 15 Vehicles total
Please proofread, correct, and repost.
Road?
bands?
through?
Also correct the runon sentences.
To solve this problem, we can use a system of linear equations. Let's assume the number of buses is represented by 'b' and the number of vans is represented by 'v'.
We are given the following information:
1. There are a total of 15 vehicles, so b + v = 15.
2. The number of students who rode in buses is the product of the number of buses (b) and the capacity of each bus (25), so 25b students rode in buses.
3. The number of students who rode in vans is the product of the number of vans (v) and the capacity of each van (7), so 7v students rode in vans.
4. The total number of students is 231, so 25b + 7v = 231.
Now we have a system of equations:
Equation 1: b + v = 15
Equation 2: 25b + 7v = 231
We can solve this system of equations to find the values of b and v.
To solve Equation 1 for v, we can subtract b from both sides:
v = 15 - b
Substitute this value in Equation 2:
25b + 7(15 - b) = 231
Now, simplify and solve for b:
25b + 105 - 7b = 231
18b = 126
b = 7
Substitute this value of b back into Equation 1 to find v:
7 + v = 15
v = 15 - 7
v = 8
Therefore, they used 7 buses and 8 vans for the field trip.