There are 57 students in the class. The ratio of boys to girls is 4:15. How many boys need to leave the room so the ratio becomes 4:11?
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It would seem that there is a problem with the question....?
If a number of girls would be required to leave it would be
If boys are asked to leave the room then the number of girls will stay the same.
We would like the scenario of:
The required number of boys is:
However, if the question was meant as "How many girls must leave the room?" it would mean that the number of Boys would stay the same and we would have...
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To find out how many boys need to leave the room so the ratio becomes 4:11, follow these steps:

Determine the initial number of boys and girls: Boys = (4 / (4 + 15)) * 57 Girls = (15 / (4 + 15)) * 57

Calculate the initial number of boys and girls: Boys = (4 / 19) * 57 Girls = (15 / 19) * 57

Calculate the current number of boys: Current number of boys = (4 / 19) * 57

Calculate the current number of girls: Current number of girls = (15 / 19) * 57

Determine the target number of boys: Target number of boys = (4 / (4 + 11)) * (Current number of boys + Current number of girls)

Calculate the target number of boys: Target number of boys = (4 / 15) * (Current number of boys + Current number of girls)

Subtract the current number of boys from the target number of boys to find out how many boys need to leave the room: Number of boys need to leave = Target number of boys  Current number of boys.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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