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