Ski Mountain sells lift tickets.

Question

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.