At a zoo, the price of 4 adult tickets and 6 child tickets is $77. the price of 6 adult tickets and 4 child tickets is $83. what is the ticket price for one adult and for one child?

The cost of 1 adult ticket is $9.5

The cost of 1 child ticket is $6.5

Step-by-step explanation:

Given :

The price of 4 adult tickets and 6 child tickets is $77.

The price of 6 adult tickets and 4 child tickets is $83.

To Find : he ticket price for one adult and for one child.

Solution :

Let the cost of one ticket of adult be $x

Cost of 4 adult tickets = $4 x

Cost of 6 adult tickets = $6 x

Let the cost of one ticket of child be $y

Cost of 6 child tickets = $6 x

Cost of 4 child tickets = $4 x

Now , we are given that the price of 4 adult tickets and 6 child tickets is $77.

⇒    ---(a)

Also we are given that price of 6 adult tickets and 4 child tickets is $83.

⇒   ---(b)

Now solve equation (a) and (b) by substitution method

Substituting value of x from equation (a) in equation (b)

Thus, The cost of 1 child ticket is $6.5

To calculate x put y in equation (a)

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⇒

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⇒

⇒

Thus the cost of 1 adult ticket is $9.5