Question

Alex stocks up for winter. He buys 32 cans of vegetables. He pays 80 cents per can for tomatoes and 40 cents per can for corn, for a total cost of $18.00. How many cans of corn does he buy?

Answer 1

I've got 80x+40y=1800
And 80x+40y=32

Answer 2

80x + 40y = 1800
x + y = 32

Answer 3

Yes, it's plug and go after that, how would I go from there, though?

Answer 4

x=13, y=19.

Answer 5

I'm wrong still.

Answer 6

x + y = 32 --> x = 32 - y
now sub that into the other equation
80(32 - y) + 40y = 1800

does that help....now you solve for y. Once y is found, sub that back into the equation x + y = 32, and solve for x

if you wish to check your answer, sub it back into the equations..
x + y = 32
13 + 19 = 32
32 = 32 (this works)

80x + 40y = 1800
80(13) + 40(19) = 1800
1040 + 760 = 1800
1800 = 1800 (this works)

you are correct..x = 13 and y = 19

Answer 7

I saw that when I plugged it in. Thank you for the steps. I have a similar question so this should help.

Answer 8

glad I could help :)