Answer:
Widgets: 12
Wombats: 15
Explanation:
Let x represent widgets
y represent wombats
Set up the equations
(1) x + y = 27
(2) 0.75x + 1.25y = 27.75
Solve equation (1), x + y = 27 for x
x = 27 - y
Substitute 27- y for x into equation (2)
0.75(27 - y) + 1.25y = 27.75
0.5y + 20.25 = 27.75
0.5y = 7.5
y = 15
Substitute 15 for y into equation (2)
x = 27 - 15
= 12