milkoviched
contestada

A group of 3 children and 2 adults pay a total of $121 to take a karate class. A group of 5 children and
1 adult take the same karate class for $85. What is cost per adult and per child? Write and solve a
system of equations.

Respuesta :

shanshancupcake

Answer:

The cost for a child is $7 and the cost for an adult is $50

Step-by-step explanation:

Let 'x' represent children

Let 'y' represent adults

The equations used to come to this answer are:

[tex]3x + 2y = 121 \\ 5x + 1y = 85[/tex]

[tex]3x + 2y = 121 \\ 5x( - 2) + 1y( - 2) = 85( - 2) \\ \\ 3x + 2y = 121 \\ - 10x - 2y = - 170 \\ - 7x = - 49[/tex]

Therefore; x = 7

[tex]5x + 1y = 85 \\ 5(7) + y = 85 \\ 35 + y = 85 \\ y = 85 - 35 \\ y = 50[/tex]

Otras preguntas