Two families go to a zoo. the smith family of two adults and three chidren pays £61 the jones family of three adults and five children pay £96. work out the price of an adult and child ticket, let a stand for adults and c stand for child

The price of the ticket for an adult is £14.34 and the price of the ticket for a child is £9 and this can be determine by forming the linear equation in two variables.

Given :

Linear equation has to be form to determine the price of the ticket for an adult and a child.

Let 'a' be the price of ticket for an adult and 'c' be the price of ticket for a child than the linear equations will be:

2a + 3c = 61 --- (1)

3a + 5c = 96 --- (2)

Now, from equation (1) solve for 'a'.

  ---- (3)

Now, put the value of 'a' obtain in equation (3) in eqaution (2).

c = £ 9

Now, put the value of 'c' in equation(3).

a = £ 14.34

Therefore, the price of the ticket for an adult is £14.34 and the price of the ticket for a child is £9.

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answer: 180

step-by-step explanation:

12-2=10

20-2=18

18x10=180