More Word Problems

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More Word Problems

1) Tickets to a concert were $19 for the seats near the front and $14 for the rear seats. There were 525 more rear seats sold than front seats, and sales for all tickets totaled $31,770. How many of each kind of ticket were sold?

2) Little Pete had two pieces of wire of equal length. He shaped one piece into a square and the other in the shape of an isosceles triangle (this is what we do for fun). The base of the isosceles triangle is 4 cm shorter than a side of the square and the legs are 9 cm longer than the side of the square. How long was each piece of wire?

3) If the base of the isosceles triangle in example 2 (above) were 6 cm shorter than a side of the square and each leg was 3 cm longer, find the length of the wire.

4) At noon a cargo plane leaves the airport and heads east at 180 mph. It’s destination is Cellaville (where all the men are handsome and have nice tans). At 1 pm a jet takes off from the same airport and flies east (same direction as the cargo plane) at 450 mph. At what time will the jet overtake the cargo plane?

5) Amy has $8 less than Maria, Together they have $30. How much money does each girl have?

6) Jim’s weekly pay is two thirds of Alicia’s. Together they earn $600 per week. How much is each person’s weekly pay?

7) A music store that sells used records and tapes (ask your parents what they are). The records sell for $7 each and the tapes sell for $7.50. The dealer sold 60 more records than tapes for a total sale of $2160. How many records were sold?

8) The perimeter of a basketball court is 266 feet and its length is 35 more feet than its width. What are the dimensions of the court? 9) The degree measures of the angles of a pentagon are consecutive even integers. Find the measure of the largest angle? (There are 540 degrees in a pentagon).

10) In a walkathon to raise money for a charity, Molly walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2h and 15 minutes. How many miles long was the walkathon?

11) A road cyclist travels 120 miles with the wind in 3 hours and 120 miles against the wind in 5 hours. Find the speed of the wind.

12) An airplane travels 400 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.

13) Jon averages 30mph when he drives on the highway to his house and 50mph on the interstate. If both routes are the same length, and he saves 2 hours by traveling on the interstates, how far away is his house?

14) On Monday, Voltaire drove to town at 60 miles per hour. On Tuesday, he drove to town at 40 miles per hour. If the total traveling time for both trips was 15 hours, how far was it to town?

15) If two cars leave the same location at the same time, AND car one is traveling 20 MPH faster than car two in opposite directions, and they are 168 miles apart 1 1/2 hours later...how fast is each one going?

16) Antoine rode his bike the 4 miles to the fair at a relaxed pace. He stayed to long and had to double his speed on the way back in order to get home in time for dinner. If his total time traveling was 3 hours, how fast did he travel in each direction?