I am twice my son’s age and two-thirds my mother’s age. Our combined age is 108 years. Write an equation to help find my age.
Use the equation in part (1) to establish my age.
Solve (5x + 4)/3 = 12
Solve 2y/(y-3) + (y+2)/(y-3) = 4
Solve 3x/(x-1) = 1 + 3/(x-1)
Rearrange 4x = √(2y – 5) + z with y as the subject
If t = √(s2 + 1), simplify (t2 – s2)/[t2 – (s + 1)(s – 1)]
Rearrange z < 2a/b with b as the subject assuming b > 0
Solve x – y < 4 + y < z + x for x
John would like to set up a badminton club for himself and some friends. The badminton court will cost £24 for the evening and he estimates that they will use an average of 3 feather shuttlecocks per player per evening. The shuttlecocks cost £8 per dozen. He and his friends will share the costs equally but are not willing to spend more than £5 per person per evening. At least how many players should John ask to join him?
