A nature center charges $35.25 for a yearly membership and $6.25 for a single admission. Last week it sold a combined total of 50 yearly memberships and single memberships of $660.50. How many memberships and how many single admissions were sold? (Define your variables!)
Answers
Answer:
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Step-by-step explanation:
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The number of yearly membership is 12 and number of single membership is 38 are sold in 1 week
Step-by-step explanation:
Price for a yearly membership = $35.25
Price for a single admission = $6.25
Consider x be the number of yearly memberships and y be the single admissions.
It sold 50 yearly membership in 1 week,
∴ x + y = 50
⇒ x = 50 - y ...... (1)
It sold single membership of $660.50 in week,
∴ 35.25x + 6.25y = 660.50 ......(2)
Substituting x in (2), we get
35.25 (50-y) + 6.25y = 660.50
1762.5 - 35.25y +6.25y = 660.50
1762.5 - 29 y = 660.50
-29 y = 660.50 - 1762.5
-29 y = -1102
∴ x = 50 - 38 = 12
The number of yearly membership is 12 and number of single membership is 38.
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