Question

The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?

Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
$0.55
$0.60
$0.70
$0.75

Answer 1

To calculate the money saved by buying a baker's dozen (13 rolls) instead of buying 13 individual rolls, we first need to find the cost of 13 individual rolls based on the prices given.

The prices for individual rolls are:
- 6 rolls: $3.60
- 8 rolls: $4.80
- 1 roll: $0.55, $0.60, $0.70, $0.75

We'll first calculate the cost of one roll based on the price of 6 rolls and the price of 8 rolls:

1. **Cost per roll for 6 rolls:**
\[
\text{Cost per roll} = \frac{3.60}{6} = 0.60 \text{ per roll}
\]

2. **Cost per roll for 8 rolls:**
\[
\text{Cost per roll} = \frac{4.80}{8} = 0.60 \text{ per roll}
\]

Since the cost per roll calculated from both quantities is consistent, we can use $0.60 as the price per roll.

Now, let's calculate the cost for 13 individual rolls:
\[
\text{Cost for 13 individual rolls} = 13 \times 0.60 = 7.80
\]

Next, we determine the price of a baker’s dozen from the table:
\[
\text{Price of a baker's dozen} = 7.20
\]

Now we can find the savings when choosing the baker's dozen over 13 individual rolls:
\[
\text{Savings} = \text{Cost for 13 individual rolls} - \text{Price of a baker's dozen}
\]
\[
\text{Savings} = 7.80 - 7.20 = 0.60
\]

Thus, the amount of money saved by buying a baker's dozen instead of 13 individual rolls is **$0.60**.