Help with this word problem please?

Question

Only 20 percent of the spectators left the contest discontented. if 600 spectators left the contest contested, how many left discontented?

Answer 1

Another approach:

 

20% of the people were discontented  how many ?   X

80% of the people were contented      how many ?   600

 

Since the ratio of 600 to x is 80 to 20 or 4 to 1 we can write  600/x = 4/1 This means that 4x = 600 using cross multiplication. Dividing by 4 gives us x = 150.

 

150 people were discontented.

Answer 2

Hello Zach,

this problem can be solved in the following manner. If 20% of the spectators left the contest discontented, then 80% would leave contented. We are given that 600 people were contented, therefore 600 is a number that is 80% of the total number of spectators. We can say that 600 is 80% of what number. If we call this number X, then 600 = 80% of X

600 = 0.8X

600/0.8 = X

X = 750

Therefore, 750-600 = 150 which represents 20% of the total number of people.

 

 

150 is the answer. 

Answer 3

If 20% of the spectators were discontented and 600 spectators were contented, then 600 represents 80% of the spectators. 

 

The equation 600 = .80x can be used to find the total number of spectators.  Therefore x = 600/.80 and x =  750.

The number of spectators who left discontented then is .20(750) = 150.

 

600 + 150 = 750.

Answer 4

if 20 percent of the spectators left the contest discontented, then 80 percent of the spectators left the contest contented.

 

Because the number of contented spectators is equal to 600 per the problem definition, then the total number of spectators, x, can be calculated as follows:

 

(0.80) (x) = 600

 

x = 600/0.8 = 750

 

Since the total number of spectators is 750 and 20 percent of the spectators left discontented, then the number of discontented spectators is (0.20 (750) = 150

 

Answer: There are 150 discontented spectators.