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

Answer:

Cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Step-by-step 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