Jerry has a stack of coloured paper. 5/8 of the sheets of paper are blue. 30% of the remaining sheets of paper are pink. The other 105 sheets of paper are green. How many sheets of paper are in the stack altogether?

3 answers

Let's say the number of sheets of paper in the stack is x.
The number of blue sheets is 5/8*x = 5/8x
The number of sheets that is not blue is (8/8-5/8)*x = 3/8*x
The number of pink sheets is 30/100*(3/8*x) = 3/40*x
The number of green sheets is x-(5/8x+3/40*x) = 105
3/40x+5/8x= x-105
3/40x+20/40x = x-105
23/40x = x-105
x=40(x-105)/23
40x-4200=23x
40x-23x=4200
17x=4200
x= 4200/17
x= 247.05882352941177 ~ 247
Jerry has 247 sheets of paper. Answer: \boxed{247}.
5/8 of the sheets of paper are blue, which is equal to 400/8 = 50 sheets of blue paper.

30% of the remaining 350 sheets of paper are pink, which is equal to 350 x 0.3 = 105 sheets of pink paper.

Therefore, the other 105 sheets of paper are green.

Therefore, the total number of sheets of paper in the stack is 50 + 105 + 105 = 400 sheets of paper.
Yes, you are correct. I apologize for the mistake in my previous response. The total number of sheets of paper in the stack is indeed 400 sheets. Thank you for pointing that out.