Question

three people P, Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides £8. Determine the total fund?​

Answer 1

Let x be the total fund

`(3x)/(5) + (2)/(3)(x - (3x)/(5) ) + 8 = x`

3x/5 + 2/3(2x/5) + 8 = x

3x/5 + 4x/15 + 8 = x

9x/15 + 4x/15 + 120/15 = 15x/15

9x+4x+120=15x

-2x= -120

x=60£