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# Word problem: cost comparison

A parent is deciding which babysitter to use in the neighborhood. Babysitter A charges \$20 per hour and a base rate of \$60 per day. Babysitter B charges a base rate of \$50 per day and \$25 per hour. For how many hours of babysitting do the two babysitters charge the same amount?

#### Solution Preview

The basic steps in solving any word problem are as follows:

1. Define the variable.
2. Translate the English expressions into mathematical expressions.
3. Set up an equation in the variable.
4. Solve the equation for the variable.
5. Check the solution.

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First, we define the variable: Let the variable "h" denote the number of hours worked.

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Next, we "translate" each of the English expressions (about total pay) into a mathematical expression.

Babysitter A ...

#### Solution Summary

A detailed, step-by-step solution of the number of hours of babysitting for which the two babysitters charge the same amount is presented.

\$2.19