Write an equation to model the given information and solve.Celebrity Travel: To avoid papa...

Write an equation to model the given information and solve.

Celebrity Travel: To avoid paparazzi and overzealous fans, the arrival gates of planes carrying celebrities are often kept secret until the last possible moment. While awaiting the arrival of Angelina Jolie, a large crowd of fans and photographers had gathered at Terminal A, Gate 18. However, the number of fans waiting at Gate 32 was twice that number increased by 5. If there were 73 fans at Gate 32, how many were waiting at Gate 18?

EXAMPLE 2 Translating English Phrases into Algebraic Expressions

Assign a variable to the unknown number, then translate each phrase into an algebraic expression.

a. twice a number, increased by five

Solution a. Let n represent the number. Then 2n represents twice the number, and 2n + 5 represents twice the number, increased by five.