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. (a) Let the number of children visited be x and the number of adults visited be y. Which of the following is the correct system of equation that model the problem?
Answers
Given : The ticket charge for the park is Rs 150 for children and Rs 400 for adults.
480 tickets were sold and Rs 134500 was collected
To Find : Equation
How many children attended
How many adults attended?
How much amount collected if 300 children and 350 adults attended
Solution:
number of children visited = x
ticket charge for children = 150
Charges for x children = 150x
number of adults visited = y
ticket charge for adults = 400
Charges for y adults = 400y
480 tickets were sold
=> x + y = 480
Rs 134500 was collected
150x + 400y = 134500
=> 3x + 8y = 2690
3x + 3y = 1440
3x + 8y = 2690
=> 5y = 1250
=> y = 250
x + y = 480
=> x = 230
230 children attended
250 adults attended
amount collected if 300 children and 350 adults attended
300(150) + 350(400) = 45000 + 140000 = 185000
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Answer:
Mr Preet 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 he decided to random check the park and went there. When he
checked the cash counter, he found that 480 tickets were sold and
Rs.134,500/- was collected.
I) Let the number of children visited be “x” and the number of adults visited
be “y”. Which of the following is the correct system of equations that model the
problem?
a) x + y = 480 and 3x + 8y = 2690
b) x + 2y = 480 and 3x + 4y = 2690
c) x + y = 480 and 3x + 4y = 2690
d) x + 2y = 480 and 3x + 8y = 2690
II)How many children attended?
a) 250 b) 500 c) 230 d) 460
III)How many adults attended?
b) 250 b) 500 c) 230 d) 460
IV)How much is the amount collected if 300 children and 350 adults attended?
a) Rs.225,400/- b) Rs.154,000/- c) Rs.112,500/- d) Rs.185,000/-
V)One day total attended children and adults together is 750 and the total
amount collected is Rs.212,500/-. What are the number of children and adults
attended?
a) (700,800) b) (350,400) c) (800,700) d) (400,350)
Step-by-step explanation: