Question

the cost of admission to a government museum was rs 162 for 12 children and 3 adults If the cost of admitting one adult is 6 less than twice of the cost of one child , how much is the cost of admission of each

Answer 1

Answer:

Cost of admission of one child = 10

Cost of admission of one adult = 14

Step-by-step explanation:

Let's say,

$x = \mathrm{cost\:of\:admission\:of\:children}\\y = \mathrm{cost\:of\:admission\:of\:adults}$

Setup the equations from the given data as:

$12x+3y=162\\y = 2x-6$

Now, just solve this system of linear equations to get the cost of admission of each individual.

Substitute the value of y from second equation in the first equation to get:

$12x+3\left(2x-6\right)=162$

$12x+6x-18=162\\18x-18=162\\18x=180\\x=10$

Substitute x = 10 in second equation to get:

$y=2\cdot \:10-6$

$y=14$