The cost of a ticket to the circus is RM25

Berikut ini adalah pertanyaan dari amieraaina00 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

The cost of a ticket to the circus is RM25 for children and RM50 for adults. On a certain day, attendance at the circus is 2000 and total gate revenue is RM70000. How many children and how many adults bought tickets? Find the mathematical solution.

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Jawaban:

Children = 1200

Adults = 800

Penjelasan dengan langkah-langkah:

Suppose:

x = numbers of children that bought ticket to the circus

y = numbers of adults that bought ticket to the circus

The cost of a ticket to the circus for children is RM25.

The cost of a ticket to the circus for adults is RM50.

Total gate revenue is RM70000.

From this information, it can be expressed in a mathematical equation:

25x + 50y = 70000

The attendance at the circus is 2000.

Then it can be expressed in a mathematical equation:

x + y = 2000

Then we got two equations:

25x + 50y = 70000 ...(1)

x + y = 2000 ...(2)

From these equations, we could determine the x and y.

We can use the eliminate and substitute.

Eliminate eq (1) dan (2) to find x

25x + 50y = 70000 (×1)

x + y = 2000 (×50)

25x + 50y = 70000

50x + 50y = 100000

_________________ −

-25x = -30000

x = 1200

To find y, substitute x = 1200 to eq (2)

x + y = 2000

1200 + y = 2000

y = 2000 − 1200

y = 800

We got

x = 1200

y = 800

Then we can conclude that on a certain day, there is 1200 children and 800 adults that bought the tickets (attend the circus).

Hope this helps.

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Last Update: Fri, 23 Jun 23