Mr. RK Agrawal is owner of a famous amusement park in Delhi. Generally he does not go to park and it is managed by team of staff. The ticket charge for the park is Rs 150 for children and Rs 400 for adults.One day Mr Agrawal decided to random check the park and went there. When he checked the cash counter, he found that 480 tickets were sold and Rs 134500 was collected.
(v)One day total attended children and adults together is 750 and the total amount collected
is Rs 212500. What are the number of children and adults attended ?
(a) (700, 800)
(b) (350, 400)
(c) (800, 700)
(d) (400, 350)
I want in equation.
Answers
Answer:
Mr. RK Agrawal is owner of a famous amusement park in Delhi. Generally he does not go to park and it is managed by team of staff. The ticket charge for the park is Rs 150 for children and Rs 400 for adults.One day Mr Agrawal decided to random check the park and went there. When he checked the cash counter, he found that 480 tickets were sold and Rs 134500 was collected.
(v)One day total attended children and adults together is 750 and the total amount collected
is Rs 212500. What are the number of children and adults attended ?
(a) (700, 800)
(b) (350, 400)
(c) (800, 700)
(d) (400, 350)
Answer:
(b) (350 , 400)
Step-by-step explanation:
Total amount collected= 212500, number of tickets sold= 750
let y = adults and x = children
the equation will be
150x + 400y = 212500
Divide this by 50
3x + 8y = 4250...(1)
Now, given x + y = 750...(2)
multiply 1 by 2 to equalise
3x + 3y = 4250...(3)
Now, subtract equation 3 by 5,
the result will be 5y = 2000
y = 400(number of adults)
substitute y = 400 in 2,
x + 400 = 750
x = 350
therefore it will be option B