All 231 students in the math club went on a field trip. some students rode in vans which hold 7 students and some students rode in buses which hold 25 students each. how many of each type of vehicle did they use if there were 15 vehicles in total?

the number of vans is 9

the number of buses is 6

Step-by-step explanation:

Let x represent the number of vans

Let y represent the number of buses.

Some students rode in vans which hold 7 students and some students rode in buses which hold 25 students each. The total number of students in the Math Club that went on the field trip is 213.

This means that

7x + 25y =213 - - - - - - - - - -1

Total number of vehicles used is 15. This means that

x + y = 15

Substituting x = 15 - y into equation 1, it becomes

7(15 - y) + 25y =213

105 - 7y + 25y = 213

- 7y + 25y = 213 - 105

18y = 108

y = 108/18 = 6

x = 15 - y = 15 - 6

x = 9

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: