There are 48 people in a restaurant.A third of the people in the restaurant are women.The number of women in the restaurant is 4 times the number of men in the restaurant.The rest of the people in the restaurant are children.Find the ratio of the number of children in the restaurant to the number of women in the restaurant.Give your answer in its simplest form.
Question
There are 48 people in a restaurant.A third of the people in the restaurant are women.The number of women in the restaurant is 4 times the number of men in the restaurant.The rest of the people in the restaurant are children.Find the ratio of the number of children in the restaurant to the number of women in the restaurant.Give your answer in its simplest form.
Solution
Sure, let's break it down:
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We know that a third of the people in the restaurant are women. So, we divide 48 by 3 to find the number of women. 48 ÷ 3 = 16. So, there are 16 women in the restaurant.
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We also know that the number of women in the restaurant is 4 times the number of men. So, we divide the number of women by 4 to find the number of men. 16 ÷ 4 = 4. So, there are 4 men in the restaurant.
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To find the number of children, we subtract the number of men and women from the total number of people. 48 - 16 - 4 = 28. So, there are 28 children in the restaurant.
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To find the ratio of the number of children to the number of women, we divide the number of children by the number of women. 28 ÷ 16 = 1.75.
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However, the question asks for the ratio in its simplest form. The simplest form of 1.75 is 7:4. So, the ratio of the number of children to the number of women in the restaurant is 7:4.
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