S Sarah2391 New member Joined Nov 28, 2007 Messages 26 Jan 5, 2008 #1 If 20 percent of 60 percent of a positive number is equal to 30 percent of x percent of the same number, what is the value of x? (a) 20 (b) 32 (c) 60 (d) 40 (e) 18
If 20 percent of 60 percent of a positive number is equal to 30 percent of x percent of the same number, what is the value of x? (a) 20 (b) 32 (c) 60 (d) 40 (e) 18
M Mrspi Senior Member Joined Dec 17, 2005 Messages 2,116 Jan 5, 2008 #2 Re: Help! More percentages Sarah2391 said: If 20 percent of 60 percent of a positive number is equal to 30 percent of x percent of the same number, what is the value of x? (a) 20 (b) 32 (c) 60 (d) 40 (e) 18 Click to expand... Let n be the unknown number 20% of 60% of n would be (20/100)*(60/100)*n 30% of x% of n would be (30/100) * (x/100)*n We are told that these two quantities are equal. So, (20/100)*(60/100)*n = (30/100)*(x/100)*n Multiply both sides by 100*100 to eliminate the fractions: 20*60*n = 30*x*n Divide both sides by n.... 20*60 = 30 * x Now...can you take it from here?
Re: Help! More percentages Sarah2391 said: If 20 percent of 60 percent of a positive number is equal to 30 percent of x percent of the same number, what is the value of x? (a) 20 (b) 32 (c) 60 (d) 40 (e) 18 Click to expand... Let n be the unknown number 20% of 60% of n would be (20/100)*(60/100)*n 30% of x% of n would be (30/100) * (x/100)*n We are told that these two quantities are equal. So, (20/100)*(60/100)*n = (30/100)*(x/100)*n Multiply both sides by 100*100 to eliminate the fractions: 20*60*n = 30*x*n Divide both sides by n.... 20*60 = 30 * x Now...can you take it from here?