Question

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?

(i) x + y = 480 and 3x + 8y = 2690 (ii) x + 2y = 480 and 3x + 4y = 2690

(iii) x + y = 480 and 3x + 4y = 2690 (iv) x + 2y = 480 and 3x + 8y = 2690

(b) How many children attended?

(i) 250 (ii) 500 (iii) 230 (iv) 460

(c) How many adults attended?

(i) 250 (ii) 500 (iii) 230 (iv) 460

(d) How much amount collected if 300 children and 350 adults attended?

(i) Rs 225400 (ii) Rs 154000 (iii) Rs 112500 (iv) Rs 185000​

Answer 1

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 2

Answer:

Step-by-step explanation:

a) i) x + y = 480

3x + 8y = 2690

b) iii) 230

c) i) 250

d) iv) 185000