There are 188 people on the trip and their total cost for the bike tour was $5040. There were twelve more adults than seniors on the trip. How many children were there?

The answer to your question is there were 88 children

Step-by-step explanation:

Data

Total number of people = 188

total cost = $5040

12 more adults than seniors

number of children = ?

adults = a

children = c

Process

1.- Write equations that help to solve this problem

             a + c = 188              Equation l

             a = c + 12                 Equation ll

2.- Solve by substitution. Substitute equation equation ll in equation l

           (c + 12) + c = 188

-Solve for c

            c + 12 + c = 188

            2c + 12 = 188

            2c = 188 - 12

            2c = 176

              c = 176 / 2

              c = 88

3.- Conclusion

There were 88 children

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

yes

step-by-step explanation: