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19 June, 17:08

To make lemonade, 2 cups of lemon juice are mixed with 7 cups of water. Describe and correct the error in proportion used to find the number of cups of lemonade juice, j, to mix with 28 cups of water. 2/7 = 28/j

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  1. 19 June, 17:27
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    x/9 = 8/36

    x = 9 * 8/36 [multiplying each side by 9]

    x = 2

    x/90 = 4.4/12

    x = 90 * 4.4/12 [multiplying each side by 90]

    x = 33

    Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer:

    2/7 = j/28 [lemon juice to water]

    8 = j [multiplying each side by 28]

    7/2 = 28/j [water to lemon juice]

    7j = 56 [multiplying each side by 2j]

    j = 8 [dividing each side by 7]

    The length proportion is 24 in to 32 ft.

    The actual house is 24 ft tall.

    Let x represent the doll house height, in inches. Then

    x/24 = 24/32

    x = 24 * 24/32 = 18 inches
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