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?
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.
Let's break down the information given step by step to find the total number of sheets in the stack.
Step 1: Calculate the number of blue sheets.
We know that 5/8 of the sheets are blue.
Let's assign the total number of sheets as "x".
Blue sheets = (5/8) * x
Step 2: Calculate the remaining number of sheets.
To find the remaining number of sheets, we need to subtract the number of blue sheets from the total number of sheets.
Remaining sheets = x - (5/8) * x
= (1 - 5/8) * x
= (8/8 - 5/8) * x
= (3/8) * x
Step 3: Calculate the number of pink sheets.
30% of the remaining sheets are pink.
Let's convert 30% to a decimal: 30/100 = 0.30
Pink sheets = 0.30 * (3/8) * x
Step 4: Calculate the number of green sheets.
We are given that there are 105 green sheets.
Green sheets = 105
Step 5: Calculate the total number of sheets.
The total number of sheets is the sum of the blue, remaining, pink, and green sheets.
Total sheets = Blue sheets + Remaining sheets + Pink sheets + Green sheets
= (5/8) * x + (3/8) * x + 0.30 * (3/8) * x + 105
Now we can solve for x, the total number of sheets in the stack, using the given information.