### Home > CC2 > Chapter 7 > Lesson 7.1.4 > Problem7-46

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.

Let $x=\text{growth of the semi-dwarf tree}$.
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.