Suppose on April 1, a gag store sold a total of 27 widgets and wombats combined. If widgets cost $0.75, wombats cost $1.25, and the store received a total of $27.75 for these two items, how
many of each item did the store sell?

Widgets: 12

Wombats: 15

Step-by-step 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