Nguyen Cummings
09/16/2023 · Elementary School

The average cost of a book is \( \$ A \). (i) The total cost of 8 books is \( \$ 36 \). Find the value of \( A \). (ii) Onswer(c)(i) \( A=\ldots \ldots \ldots \) The cost of this book is \( \$ 6.60 \). Find the new value of \( A \). Answer(c)(ii) \( A=\ldots \ldots \)

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(i) To find the average cost of a book \( A \), we can use the formula for average cost: \[ A = \frac{\text{Total Cost}}{\text{Number of Books}} \] Given that the total cost of 8 books is \( \$ 36 \), we can substitute the values into the formula: \[ A = \frac{36}{8} \] Calculating this gives: \[ A = 4.50 \] So, the value of \( A \) is: Answer(c)(i) \( A = 4.50 \) (ii) Now, if the cost of a book is \( \$ 6.60 \), we need to find the new average cost \( A \). Assuming we still consider the same 8 books, the total cost would now be: \[ \text{Total Cost} = 8 \times 6.60 = 52.80 \] Now we can find the new average cost \( A \): \[ A = \frac{52.80}{8} \] Calculating this gives: \[ A = 6.60 \] So, the new value of \( A \) is: Answer(c)(ii) \( A = 6.60 \)

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(i) \( A = 4.50 \) (ii) \( A = 6.60 \)
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