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Jen Butler has been pricing Speedpass train fares for a group trip to New York. 3 adults and 4 children may pay a $117. two adults and three children must pay $83. find the price of the adults ticket in the price of a child's ticket

Respuesta :

sqdancefan
The price of a child's ticket will be 3 times the lower price less 2 times the higher price: 3*83 -2*117 = 15 dollars.

The price of an adult's ticket will be 3 times the higher price less 4 times the lower price: 3*117 -4*83 = 19 dollars.
david8644

Answer:

Adult $19

Children $15

Step-by-step explanation:

In order to solve this you just have to solve the system of equations:

Adults= "Y"

Children= "X"

So the price of the tickets for the equations would be:

3y + 4x=117

2y + 3x= 83

TO solve this you just have to multiply the first equation by -2 and the second by 3:

-2(3y + 4x=117)= -6y -8x=-234

3(2y + 3x= 83)= 6y+9x=249

x=15

SO the children tickets cost 15 dollars.

We insert that value into the other equation:

2y + 3x= 83

2y + 3(15)= 83

2y +45=83

2y=83-45

2y= 38

y=19

So the cost of the adult tickts is 19 dollars.

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