Question

Ski Mountain sells lift tickets.

Ski Mountain Sale Packages

Number of Lift Tickets
Total Cost
Package A
3
$30
Package B
5
$60
Package C
12
$120
Package D
16
$120

Which packages have the same ratio of lift tickets to cost?
packages A and D
packages A and C
packages B and C
packages C and D

Answer 1

To find which packages have the same ratio of lift tickets to cost, we can calculate the ratio (lift tickets/cost) for each package.

- **Package A**:
Number of Lift Tickets = 3
Total Cost = $30
Ratio = \( \frac{3}{30} = \frac{1}{10} = 0.1 \)

- **Package B**:
Number of Lift Tickets = 5
Total Cost = $60
Ratio = \( \frac{5}{60} = \frac{1}{12} \approx 0.0833 \)

- **Package C**:
Number of Lift Tickets = 12
Total Cost = $120
Ratio = \( \frac{12}{120} = \frac{1}{10} = 0.1 \)

- **Package D**:
Number of Lift Tickets = 16
Total Cost = $120
Ratio = \( \frac{16}{120} = \frac{2}{15} \approx 0.1333 \)

Now we compare the ratios:

- Package A: 0.1
- Package B: 0.0833
- Package C: 0.1
- Package D: 0.1333

Packages A and C both have the same ratio of lift tickets to cost (0.1). Thus, the correct answer is:

**Packages A and C**.