SOLUTION: Hi I.m Betty I was just online with I submitted a problem and was writing back to you my e-mail is bmurray0208@live.com sorry my power just clicked off for a second and I lost you

Algebra ->  Proportions  -> Lessons -> SOLUTION: Hi I.m Betty I was just online with I submitted a problem and was writing back to you my e-mail is bmurray0208@live.com sorry my power just clicked off for a second and I lost you      Log On


   



Question 182697: Hi I.m Betty I was just online with I submitted a problem and was writing back to you my e-mail is bmurray0208@live.com sorry my power just clicked off for a second and I lost you. Hope I can continue where I left off. Here is the problem again.What percent of 12 letters is 4 letters? During his basketball season Jeff made 520 baskets out of 1280 attempts, What was his shooting percentage? Round to the nearest whole percent.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"What percent of 12 letters is 4 letters? "

To calculate the percentage, we can use the proportion:
part%2Fwhole=percent%2F100


In this case, the "part" is 4 and the "whole" is 12. Now let the "percent" be "x" to get:

4%2F12=x%2F100

%284%2F12%29%28100%29=x Multiply both sides by 100 to isolate "x"


400%2F12=x Multiply 4%2F12 by 100 to get 400%2F12


x=33.3 Divide and rearrange the equation (note: the 3's after the decimal continue on forever)

So the percentage is

Note: the bar over the "3" means that the 3 repeats forever after the decimal.


-------------------------------------------------------

Now let's use the same technique to solve the next problem

"During his basketball season Jeff made 520 baskets out of 1280 attempts, What was his shooting percentage? Round to the nearest whole percent."


In this problem, the "part" is 520 and the "whole" is 1280. Once again, we'll let the "percent" be "x". So we now have the proportion:

520%2F1280=x%2F100


%28520%2F1280%29%28100%29=x Multiply both sides by 100 to isolate "x"


52000%2F1280=x Multiply 520%2F1280 by 100 to get 52000%2F1280


x=40.625 Divide and rearrange the equation


So the percentage is 40.625%


Now let's round to the nearest whole percent to get 41%


So his shooting percentage to the nearest whole percent is 41%