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# Break-even, Charges and Investments

1. A theatre spends \$5000. building a set for a new play. Each performance of the play
costs the theatre \$700. The theatre sells \$1200. worth of tickets for each performance. How many performances must the theatre put on to break even?

2. An amusement park charges admission plus a fee for each ride. Admission plus two rides cost \$10. Admission plus five rides cost \$16. What is the charge for admission for each ride?

3. You have \$5100. to invest in two different investments. Investment A pays 4% and investment B pays 6% You would like to earn \$265. in interest. How much money should you place in each investment?

#### Solution Preview

1. A theatre spends \$5000. building a set for a new play. Each performance of the play
costs the theatre \$700. The theatre sells \$1200. worth of tickets for each performance. How many performances must the theatre put on to break even?
Assume x performances will be the break even point.
Then cost of the play is 700x
And there is a 5000 fixed cost.
So the total cost is 5000 + 700x
The tickets income will be ...

#### Solution Summary

This is a set of word problems involving break-even point, admission for rides, and investments.

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