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Salvo said that of the 100 singers in a children’s choir in Whitehorse, 62% have brown hair and 48% have black hair. Is this possible?

Use words and pictures to explain.

1 Answer

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Answer:

Explanation:

A percentage is a way of expressing a part of a whole in terms of 100 parts. For example, 50% means 50 out of 100, or half of the whole. Sometimes, percentages can be more than 100%, which means more than the whole. For example, if you have a hot dog stand and sell 10 hot dogs in the morning and 30 hot dogs in the afternoon, you can say that you sold 300% more hot dogs in the afternoon than in the morning1.

However, in some situations, percentages more than 100% do not make sense. For example, you cannot have more than 100% of your time, money, or energy. In your question, you are given the percentages of singers in a choir who have brown hair and black hair. These percentages are based on the total number of singers in the choir, which is 100. Therefore, it is not possible for 62% of them to have brown hair and 48% of them to have black hair at the same time, because that would add up to more than 100%. The only way this could be possible is if some singers had both brown and black hair, but that is unlikely.

To illustrate this with a picture, you can use a pie chart to show the percentages of singers with different hair colors. A pie chart is a circle divided into slices that represent parts of a whole. The size of each slice is proportional to the percentage it represents. Here is an example of a pie chart for a choir with 50% brown hair and 50% black hair:

As you can see, each slice takes up half of the circle, or 180 degrees. The total angle of a circle is 360 degrees, so the sum of the angles of all the slices must be equal to 360 degrees. This means that the sum of the percentages of all the slices must be equal to 100%. If you try to make a pie chart for a choir with 62% brown hair and 48% black hair, you will end up with something like this:

As you can see, this pie chart does not make sense because the slices overlap and go beyond the circle. The angle of the brown hair slice is 223.2 degrees (62% of 360 degrees) and the angle of the black hair slice is 172.8 degrees (48% of 360 degrees). The sum of these angles is 396 degrees, which is more than 360 degrees. The sum of these percentages is 110%, which is more than 100%.

Therefore, Salvo’s statement that of the 100 singers in a children’s choir in Whitehorse, 62% have brown hair and 48% have black hair is not possible.

answered
User Joffrey Maheo
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