
A school charity sale raised \[\$ 4800\]. One quarter of this was taken to cover expenses. Three quarters of the remainder was given to Charity A and the remainder to Charity B. How much did B receive? (Ignore the dollar sign when entering your answer).
Answer
588.6k+ views
Hint:
In this question, first of all find one quarter of school charity sales and then remove it from the total school charity sale to get the remainder balance. Then remove three quarters of this remainder balance to obtain the final answer.
Complete step-by-step answer:
It is given that the amount of the school charity raised = 4800
They have taken one quarter of this to cover expenses.
Now we are going to find the amount of the one quarter of 4800.
We can find the amount of the one quarter of 4800 by dividing 4800 by 4.
\[ \Rightarrow \] One quarter of 4800 \[ = \dfrac{1}{4} \times 4800 = 1200\]
Therefore 1200 is the one quarter of the 4800.
Now we find the remaining amount. We can find the remaining amount by subtracting 4800 and 1200.
\[ \Rightarrow \] the remainder balance \[ = 4800 - 1200 = 3600\]
It is given that the three quarters of the remainder was given to charity A.
Now we can find the amount of the three quarter of 3600 by multiplying 3600 by $\dfrac{3}{4}$
three quarters of 3600 \[ = \dfrac{3}{4} \times 3600 = 2700\]
Therefore 2700 is the three quarter of the 3600.
Now we find the remaining amount. We can find the remaining amount by subtracting 3600 and 2700.
\[ \Rightarrow \] the remainder balance \[ = 3600 - 2700 = 900\]
Since this remainder balance is given to charity B, charity B receives an amount of 900.
Thus, charity B receives 900.
Note:
We have to be careful while finding the remaining amount from the given amount. If they ask the remaining amount from the remaining amount then we must take the amount that we calculated on first and then we find the second remaining amount. If in the question they have asked for the amount of charity A received the answer is 2700.
In this question, first of all find one quarter of school charity sales and then remove it from the total school charity sale to get the remainder balance. Then remove three quarters of this remainder balance to obtain the final answer.
Complete step-by-step answer:
It is given that the amount of the school charity raised = 4800
They have taken one quarter of this to cover expenses.
Now we are going to find the amount of the one quarter of 4800.
We can find the amount of the one quarter of 4800 by dividing 4800 by 4.
\[ \Rightarrow \] One quarter of 4800 \[ = \dfrac{1}{4} \times 4800 = 1200\]
Therefore 1200 is the one quarter of the 4800.
Now we find the remaining amount. We can find the remaining amount by subtracting 4800 and 1200.
\[ \Rightarrow \] the remainder balance \[ = 4800 - 1200 = 3600\]
It is given that the three quarters of the remainder was given to charity A.
Now we can find the amount of the three quarter of 3600 by multiplying 3600 by $\dfrac{3}{4}$
three quarters of 3600 \[ = \dfrac{3}{4} \times 3600 = 2700\]
Therefore 2700 is the three quarter of the 3600.
Now we find the remaining amount. We can find the remaining amount by subtracting 3600 and 2700.
\[ \Rightarrow \] the remainder balance \[ = 3600 - 2700 = 900\]
Since this remainder balance is given to charity B, charity B receives an amount of 900.
Thus, charity B receives 900.
Note:
We have to be careful while finding the remaining amount from the given amount. If they ask the remaining amount from the remaining amount then we must take the amount that we calculated on first and then we find the second remaining amount. If in the question they have asked for the amount of charity A received the answer is 2700.
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