Question

Alex stocks up for winter. He buys 36 cans of vegetable. He pays 80 cents per can for tomatoes and 40 cents per can for corn, for a total cost of $20.80. how many cans of tomatoes does he buy?

Answer 1

I found:
`16` cans of tomatoes and `20` cans of corn.

Explanation:

Call the number of cans:
`t` tomatoes;
`c` corn.
You get:
`{(c+t=36),(0.8t+0.4c=20.80):}`

From the first: `c=36-t` into the second:

`0.8t+0.4(36-t)=20.80`
`0.8t+14.4-0.4t=20.80`
`t=6.4/0.4=16` cans of tomatoes.

Into the first gives you:
`c=36-16=20` cans of corn.