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قديم 05-04-2016, 09:12 PM
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Questions (2) with solutions

:: Algebra ::

نقره لعرض الصورة في صفحة مستقلة


,A total of 300 tickets were sold for a performance of a school play. The ticket prices were $5 for each adult and $3 for each child
and the total revenue from tickets was $1,400. Solving which of the following systems of equations
?would yield the number of adult tickets sold, a, and the number of children’s tickets sold, c

A) a + c = 1,400
5a + 3c = 300

B) a + c = 300
5a + 3c = 1,400

C) a + c = 300
3a + 5c = 1,400

D) a + c = 300

3a + 5c = 1,400 × 2

The correct answer is: B

:Explanation

:Let a = # of adult tickets sold, and c = # of child tickets sold. If 300 tickets were sold altogether

c + a = 300

The revenue for a adult tickets sold at $5 each is $5a, and the revenue for c child tickets sold at $3 each is $3c
Since the total revenue is $1,400

5a + 3c = 1,400



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