Question

At a Little League game, three fourths of the people in the stands were kids and the rest were parents. If the ratio of dads to moms is 3:4, what percent of the people attending the game were moms? (Round your answer to the nearest percent.)

Please show your work if possible!
Thank you :)

Answer 1

3/4 or 75% of the people were students.
thus,
100 - 75 = 25% of the people were parents (moms & dads)
of these, there are 3 dads to 4 moms. Note that the total is 3 + 4 = 7 parents. We can say that 4/7 or 57.14% of the parents are moms. 25% of this is the percent mom:
(25% * 57.14%)/100 = 14.29% = 14%

hope this helps~ :)

Answer 2

14%

Answer 3

answer: 14%
3/4=75 which is students, so the other 25% are parents
within that 25% there are 3 dads for every 4 mothers. 3+4=7, so the fraction would be 3/7 dads and 4/7 moms. Since you need to find the mothers you must see what 4/7 is as a decimal. 4 divided by 7 = .5714---, since you round to the nearest percent it would round out to .57 or 57%. You then multiply 57% by 25% to find out how much the moms percentage is in total out of the hundred people. You get the answer of .1425 which will finally be rounded to 14%