Alex stocks up for winter. He buys 36 cans of vegetables. He pays 80 cents per can for tomatoes and 40 cents per can for corn, for a total cost of $20.8. How many cans of corn does he buy?

Alex bought 20 cans of corn and 16 cans of tomatoes.

Let the number of tomato cans be x, and the number of corn cans be y. We can then set up a system of equations to solve this problem.

x+y=36

0.8x+0.4y=20.8

Lets rearrange the first equation to find the value of one variable.

x=36-y

We can then substitute this value into the other equation, and solve for y.

0.8 (36-y) + 0.4y=20.8

28.8-0.8y+0.4y=20.8

-0.4y=-8

0.4y=8

y=20

Lastly, we can take this value and plug into the first equation to find the value of the other variable.

x+20=36

x=16

Thus, he bought 16 cans of tomatos and 20 cans of corn.