Question

A nature center charges $35.25

for a yearly membership and $6.25 for a single
admission. Last
veek it sold a combined total of 50 yearly memberships and single
admissions for $660.50. How many memberships and how many single admissions
were sold?

Answer 1

Answer: 12 yearly admissions and 38 single admissions

Explanation:

Let x be yearly membership

Let y be single admission

x+y=50 --> # of tickets sold

35.25x+6.25y=660.50 --> $ of tickets

Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)

-3525x-3525y=-176250

+ 3525+625y=66050

-----------------------------------

-2900y=-110200

y=38

Substitute y=38 into equation 1

x+38=50

x=12

Therefore, 12 yearly admissions and 38 single admissions were sold