Answer:
$15.5
Step-by-step explanation:
let a = price of one orchid plant
8 orchids would cost 8 x a = 8a
12 orchids would cost 12 x a = 12a
Let b = price of one lily plant
12 lilies would cost 12 x b = 12b
8 lilies would cost 8 x b = 8b
8a + 12b = 362 -- eqn 1
12a + 8b = 388 -- eqn 2
to solve, multiply equation 1 by 8 and equation 2 by 12
64a + 96b = 2896 equation 3
144a + 96b = 4656 equation 4
substract equation 4 from 3
80a = 1760
a = $22
Substitute for a in eqn 1 and solve for b
8(22) + 12b = 362
b = $15.5
