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College Algebra Word Problem Practice

# College Algebra Word Problem Practice - Fall 2003 OBrien...

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Fall 2003 – O’Brien College Algebra Word Problem Practice Directions : For each of the following problems, 1) label the variables and 2) use the given information to write a system of equations which relate these variable. Do not solve the system at this time. The object here is to have you practice setting up word problems. You can practice solving the problems later. Mixture Problems 1. A gas station owner has 30 gallons of gasoline worth \$1.20 per gallon and some worth \$1.40 per gallon. How many gallons of the \$1.40 brand must the owner mix in to produce gasoline that costs \$1.28 per gallon? 2. How many pounds of coffee worth \$1.44 a pound should be mixed with 20 pounds worth \$1.80 a pound to produce a mixture worth \$1.56 a pound? 3. How much water must be added to 20 ounces of a 15% solution of argyrol to reduce it to a solution that is 10% argyrol? 4. How much of a 75% copper alloy should be melted into 62 kg of a 35% copper alloy to produce an alloy which is 50% copper Motion Problems 5. A hiker climbs a mountain path at the rate of 2 miles per hour. Following the same path down the mountain, the hiker has a rate of 4 miles per hour. If the round trip took 3 hours, how far is it from the top to the bottom of the mountain? 6. A man leaves the town of Elmsville at 8:00 am and drives to Oak City at a constant rate of 50 miles per hour. Two hours later, a woman leaves Elmsville following the same route to Oak City. The man and woman arrive in Oak City at 3:00 p.m. What was the rate of the woman? How far is Elmsville from Oak City? 7. Tim and a friend left a campsite on a trip down a river in a canoe, maintaining a constant speed of 4 miles per hour. Four hours later, Tim's father set out after them in a motorboat carrying the camping supplies. The motorboat traveled at a rate of 12 miles per hour. How long after he started did Tim's father overtake the boys? 8. It takes a passenger train 2 hours less time than it takes a freight train to make the trip from Brownsville to Greentown. If the passenger train averages 60 miles per hour on the trip while the freight train averages 40 miles per hour on the trip, how far is it from Brownsville to Greentown? 1

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Fall 2003 – O’Brien Investment Problems 9. Ms. Blackmon invested \$8000, part at 4% and the rest at 5% per year. How much did she invest at each rate if her total return per year on the investments was \$380?
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