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Question

# Theater tickets cost $14 dollars for adults, a, and$8 for children, c. Additionally, each person who went to the theater on Thursday made a \$5 contribution to charity. Write an expression using the Distributive Property to show the amount of money that the theater received on Thursday. Simplify the expression.

Solution

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Theater tickets cost $\14$ dollars for adults (a),\ $\ 8$ for children (c).

Each person who went to the theater on Thursday made a $\5$ contribution to charity.

An expression using the Distributive Property

$b(a+c)=ba+bc$

First, multiply the 5 by each of the terms inside the parentheses.

$5\cdot (14+8)$

Next, simplify each part of the expression and then add.

$=5\cdot 14+5\cdot 8=110$

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