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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Step-by-step Solution
(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) \( A = 6.60 \)
Quick Answer
(i) \( A = 4.50 \)
(ii) \( A = 6.60 \)
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