Question

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!)

Answer 1

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Step-by-step explanation:

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Answer 2

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

$\text{y} = \frac{1102}{29} = 38$

∴ x = 50 - 38 = 12

The number of yearly membership is 12 and number of single membership is 38.

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