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

Question

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.