Question

A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost.

Swim Lesson Packages
Number of Lessons
Total Cost
1
$10
5
$40
10
$80
15
$80

Which package is the best deal?
1 lesson for $10
5 lessons for $40
10 lessons for $80
15 lessons for $80

Answer 1

To find the best deal, we need to calculate the ratio of the number of lessons to the total cost for each package:

1. **1 lesson for $10:**
\[
\text{Ratio} = \frac{1}{10} = 0.1
\]

2. **5 lessons for $40:**
\[
\text{Ratio} = \frac{5}{40} = 0.125
\]

3. **10 lessons for $80:**
\[
\text{Ratio} = \frac{10}{80} = 0.125
\]

4. **15 lessons for $80:**
\[
\text{Ratio} = \frac{15}{80} = 0.1875
\]

Now we can compare the ratios:

- 1 lesson for $10: 0.1
- 5 lessons for $40: 0.125
- 10 lessons for $80: 0.125
- 15 lessons for $80: 0.1875

The package with the highest ratio is the **15 lessons for $80**, which has a ratio of **0.1875**.

Thus, the best deal is **15 lessons for $80**.