EXAMPLE 4 Using a Verbal Model You pay $20 for a youth center membership. Drum lessons at the center cost $8 each for members and $12 each for nonmembers.

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EXAMPLE 4 Using a Verbal Model You pay $20 for a youth center membership. Drum lessons at the center cost $8 each for members and $12 each for nonmembers. You take two more lessons than your friend, a nonmember. For what number of lessons will your friend pay the same total amount as you? Music

EXAMPLE 4 Using a Verbal Model SOLUTION Let n represent the number of lessons your friend takes. = 12n = 8(n + 2) + 20 Write algebraic model 12n = 8n + 36 Simplify. Divide each side by 4 n = 9 12n = 8n Distributive property Subtract 8n from each side. 4n = 36 ANSWER Your friend pays the same total amount as you for 9 lessons.

GUIDED PRACTICE What If? In Example 4, suppose your friend takes 4 fewer lessons than you. For what number of lessons will your friend pay as much as you? 10. for Example 4 ANSWER Your friend pays as much as you for 13 lessons.