Question

The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $3 and the admission ticket for each child costs $2. On the opening day of the exhibition, 60 tickets were sold for a total of $160. How many adults visited the special exhibition?

Answer 1

Use simultaneous equation for this problem

y= number of adults

x = number of children

3y + 2x = 160

y + x = 60

then we double the second equation

3y + 2x = 160

2y + 2x = 120

we cancel x by elimination

3y - 2y = 160 - 120

y = 40

Answer 2

40 adults visited the special exhibition at the museum

Let x represent the number of admission ticket for adult and y represent the number of admission ticket for child.

60 tickets were sold for a total of $160. Hence:

x + y = 60   (1)

3x + 2y = 160    (2)

Solving equations 1 and 2 simultaneously gives:

x = 40, y = 20

Therefore 40 adults visited the special exhibition at the museum.

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