Word problem for -4y+6<10

Find the length of cu, the triangles are similar.

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?

Factor this polynomial completely. x^2-8x+12