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11 January, 20:17

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?

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  1. 11 January, 20:18
    0
    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.
  2. 11 January, 20:36
    0
    Alex bought 20 cans of corn and 16 cans of tomatoes.
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