a. Price per item: $5.50.
b. 5 is in dollars, 5 in tenths (50 cents) place value.
a. To find the price per item sold by the chess club, we'll use the formula:
![\[ \text{Price per item} = \frac{\text{Total revenue}}{\text{Total number of items sold}} \]](https://img.qammunity.org/2024/formulas/mathematics/college/rt5q88p9tlf9sts6sl3v1n2v9se6mhpsnx.png)
Given that the total revenue from selling 486 items is $2,673, we'll substitute these values into the formula:
![\[ \text{Price per item} = ($2,673)/(486) \approx $5.50 \text{ (rounded to the nearest cent)} \]](https://img.qammunity.org/2024/formulas/mathematics/college/2enegzdj2vq94yqj1q8cz3sf1b7cjfx5i7.png)
b. In the calculated price of $5.50 per item:
The digit 5 is in the dollar place value, representing 5 dollars.
The decimal point separates the dollars from the cents.
The digit 5 following the decimal point is in the tenths place, signifying 50 cents.
Each place value in the price per item holds a specific value. The digit to the left of the decimal represents the dollar amount, and the digit to the right of the decimal represents the cent amount. In this case, $5.50 translates to 5 dollars and 50 cents. The digit 5 in the tenths place contributes 50 cents to the total price of each item. Understanding the place value helps in interpreting the exact value that each digit holds within the total price per item.
Question:
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673
a. If the chess club sold each item for the same price, calculate the price of each item.
b. Explain the value of each digit in your answer to a using place value terms