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Home > CC2 > Chapter 7 > Lesson 7.1.4 > Problem 7-46


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. Homework Help ✎

Let x = growth of the semi-dwarf tree.
Now write expressions for the growth of the dwarf and full-size trees.

Growth of full-size lemon tree: 3x
Growth of dwarf lemon tree: 0.5x

x + 0.5x + 3x = 27
Semi-dwarf tree grew 6 inches.
Dwarf tree grew 3 inches.
Full-size tree grew 18 inches.