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6 October, 17:41

Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. A full-size lemon tree grew three times as much as the semi-dwarf lemon. Together, the three trees grew 27 inches. Write and solve an equation to determine how much each tree grew. Make sure you define your variable.

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  1. 6 October, 20:38
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    Answer: the dwarf tree grew by 3 inches.

    the semi dwarf tree grew by 6 inches.

    the full size tree grew by 18 inches.

    Step-by-step explanation:

    Let x represent how much the semi-dwarf lemon tree grew.

    Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2

    A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x

    Together, the three trees grew 27 inches. This means that

    x/2 + x + 3x = 27

    Cross multiplying by 2, it becomes

    x + 2x + 6x = 54

    9x = 54

    x = 54/9

    x = 6 inches

    The dwarf tree grew by 6/2 = 3 inches.

    The full-size lemon tree grew by 3 * 6 = 18 inches
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