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Equations for word problems

1. The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is$ 200.000, find each worker's salary

2. Including a 6.1% sales tax, a diamond ring sold for $ 2,864.70. Find the price of the ring before the tax was added.( round to the nearest cent).

3.Judy has a rectangular garden 10 by 30 feet. She wants to put a grass border around the garden with a uniform width on all sides. If she has enough grass seed to cover 384 square feet, how wide can the grass border be?

4. An auto repair shop charged a customer $424.00 to repair a car. THE BILL LISTED $74 for parts and the remainder for labor. If the cost of labor is $35 per hour , hoe many hours of labor did it take to repair the car?

Solution Preview

1. assume the salary of the head of the department is x, the salary of the president is 3x.
Then the total is
x + 3x = 200000
4x = 200000
x = 50000
3x * 3 * 50000 = 150000
the president's salary is $150,000. and the department head's salary is $50,000.

2. assume the price ...

Solution Summary

This provides several examples of writing equations from word problems and solving.