Question

two football tickets and one basketball ticket cost $126.77. one football ticket and 2 basketball tickets cost $128.86 find the cost of each ticket

Answer 1

Cost of each football ticket=$41.56

Cost of each basketball ticket=$43.56

Explanation:

Let

Cost of each football ticket=x

Cost of each basket ball ticket=y

According to question

`2x+y=126.77`...(1)

`x+2y=128.86` ....(2)

We have to find the cost of each ticket.

Equation (1) multiply by 2 then we get

`4x+2y=253.54` .....(3)

Now, subtract equation (2) from (3)

`3x=124.68`

`x=124.68/3`

`x=41.56`

Now, using the value of x in equation (2)

`41.56+2y=128.86`

`2y=128.86-41.56`

`2y=87.3`

`y=87.3/2=43.65`

Hence, cost of each football ticket=$41.56

Cost of each basketball ticket=$43.56