admission to a county fair costs 20 for two adults and one child and 16 for one adult and two children. what is the cost for one adult?

cost of 1 adult = 8

Explanation:

two adults and one child = = 20

one adult and two children = = 16

what is the cost for one adult?

2 adults + 1 child = = 20

1 adult and 2 children = = 16

if 1 adult price is x and let 1 children be y

2x + y = 20 ... (1)

x + 2y = 16 ... (2)

using simultaneous equation of substitution method

eqn (1) becomes y = 20 - 2x ... (3)

input eqn (3) in (2)

x + 2 (20 - 2x) = 16 ... (4)

x + 40 - 4x = 16

40 - 3x = 16

-3x = 16 - 40 = - 24

x = = 8

since x equal 8

therefore, cost of 1 adult = 8