
My name is Cyndi and i am in middle school in the 8th grade. The questions i am about to ask come from my book.
The directions on a can of lemonade mix say to use 8 tablespoons of mix to make 2 quarts of lemonade. Heathcliff wants to make 7 quarts of lemonade. How many tablespoons of mix should he use?
and
In a recent year, the ratio of men to women in the United States armed forces were about 9 to 1

if there are 90 men in a random group of military personnel, how many women would you expect to find in the group?

in a group of 90 military personnel, how many of them would you expect to be women?

what percent of armed forces personnel were women in that year?
Hi Cyndi,
Your recipe is for 2 quarts of lemonade. If you want to make 1 quart, that is half as much, it should take half as much sugar. Thus to make 1 quart of lemonade takes 4 tablespoons of sugar. Now that you have a 1 quart recipe, for 7 quarts multiply the 1 quart recipe by 7.
For the second question there are 9 times as many men in the armed forces as women.

If there are 90 men, then this is 9 times the number of women. Since 90 is 9 times 10, here must be 10 women.

The original statement "In a recent year, the ratio of men to women in the United States armed forces were about 9 to 1" is in terms of a ratio. You can describe the same situation as a fraction by saying that 9/10 of the armed forces are men and 1/10 are women. Thus in a group of 90 military personnel, one tenth of them should be women.

"Percent" asks for the number of military personnel who are women in a group of 100. (Cent comes from the Latin word centum which means 100.) Since one tenth of the military personnel are women and one tenth of 100 is 10, in a group of 100 military personnel there should be 10 women. In other words 10 percent, (10 per hundred).
Cheers,
Penny
 