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 :)
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~ :)
14%
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%
To find the percentage of people attending the game who were moms, we need to calculate the ratio of moms to the total number of people.
First, let's assume there were a total of 100 people in the stands. Since three-fourths of the people were kids, this means there were (3/4) * 100 = 75 kids.
Since the ratio of dads to moms is 3:4, let's assume there were 3x dads and 4x moms. Therefore, the total number of parents is 3x + 4x = 7x.
We know that the total number of people in the stands is 100, so we can set up an equation:
75 (kids) + 7x (parents) = 100
Simplifying the equation by subtracting 75 from both sides, we get:
7x = 100 - 75
7x = 25
Dividing both sides by 7, we find that x = 25/7.
Now, let's find the number of moms by substituting x back into the equation:
Number of moms = 4x = 4 * (25/7) = 100/7
To find the percentage of moms, we divide the number of moms by the total number of people and multiply by 100:
Percentage of moms = (100/7) / 100 * 100 = 14.2857%
Rounding to the nearest percent, the percentage of people attending the game who were moms is approximately 14%.