The Winston Pool League played a total of 90 balls of which the ladies sank 30%.
The Winston Pool League played a total of 90 balls of which the ladies sank 30%. After getting a good night's sleep, the ladies came back the next day and sank each of the next balls played bringing their average to 50%. How many ball did the league play for the ladies to achieve this average?
Answer/Solution
36
Steps/Work
Explanation: Identify the parts, set up equation, and solve.
Number of balls initially sank by the ladies:
30% * 90 = 27
Total balls sank by the ladies leaving their average at 50%. (Let x represent the unknown number of additional balls sank by the ladies.) Therefore, the total number of balls played is 90+x, and the total number of balls sank by the ladies is 27+x. This gives the equation as:
50%*(90+x)=27+x
Solve: Let's get rid of the percent sign
50/100*(90+x)=27+x
1/2 *(90+x)=27+x
Get rid of the fraction:
2[1/2 * (90+x)]=2(27+x)
1 * (90+x) =54+2x
90+x =54+2x
(90-54)+x = (54-54)+2x
36+x= 2x
36=x
Answer: E
Number of balls initially sank by the ladies:
30% * 90 = 27
Total balls sank by the ladies leaving their average at 50%. (Let x represent the unknown number of additional balls sank by the ladies.) Therefore, the total number of balls played is 90+x, and the total number of balls sank by the ladies is 27+x. This gives the equation as:
50%*(90+x)=27+x
Solve: Let's get rid of the percent sign
50/100*(90+x)=27+x
1/2 *(90+x)=27+x
Get rid of the fraction:
2[1/2 * (90+x)]=2(27+x)
1 * (90+x) =54+2x
90+x =54+2x
(90-54)+x = (54-54)+2x
36+x= 2x
36=x
Answer: E