2000 tickets were sold in an exhibition on a particular day. The cost of a ticket for an adult is 40 and for a child is 20.the total amount collected on that day was 6400.find the number of adult ticket and child tickets sold on that day
Answers
The number of adult tickets and child tickets sold on that day are 1200 and 800 respectively.
Step-by-step explanation:
No. of tickets sold in an exhibition on a particular day = 2000
Let the no. of adult tickets sold on that day be “x” and then the no. of child tickets sold will be “(2000 – x)”.
The cost of a ticket for an adult = Rs. 40
The cost of a ticket for a child = Rs. 20
The total amount collected on that day = Rs. 64000
Therefore, we can write the eq. as,
40x + 20(2000 - x) = 64000
⇒ 40x + 40000 – 20x = 64000
⇒ 20x = 64000 – 40000
⇒ 20x = 24000
⇒ x = 1200 ← no. of adult tickets sold
∴ 2000 – x = 2000 – 1200 = 800 ← no. of child tickets sold
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Answer:
The number of adult and child tickets sold that day are 1200 and 800 respectively.
Step-by-step explanation:
No. of tickets sold in an exhibition on a particular day = 2000
Let the no. of adult tickets sold on that day be “x” and then the no. of child tickets sold will be “(2000 – x)”.
The cost of a ticket for an adult = is Rs. 40
The cost of a ticket for a child = Rs. 20
The total amount collected on that day = Rs. 64000
Therefore, we can write the eq. as,
40x + 20(2000 - x) = 64000
⇒ 40x + 40000 – 20x = 64000
⇒ 20x = 64000 – 40000
⇒ 20x = 24000
⇒ x = 1200 ← no. of adult tickets sold
∴ 2000 – x = 2000 – 1200 = 800 ← no. of child tickets sold