Concepts 1, 4, 5

3.4.1 Involving Cost John and Amy bought school

supplies. John spent $10.65 on 4 notebooks and 5 pens. Amy spent $7.50 on 3 notebooks and 3 pens. What is the cost of 1 notebook and 1 pen?

3.4.4 Involving Distance A plane flies 660 miles from

Atlanta to Miami in 1.2 hours when traveling with a tailwind. The return flight against the same wind take 1.5 hours. Find the speed of the plane in still air and the speed of the wind.

D = rt

3.4.5 Involving Geometry Two angles are supplementary.

The measure of one angle is 16˚ less than three times the measure of the other. Find the measure of the angles.

Involving Cost

Suzy has a piggy bank consisting of nickels and dimes. If there are 30 coins worth $1.90, how many nickels and dimes are in the bank?

Answer: 22 nickels, 8 dimes

Involving Distance, Rate, Time

It takes a pilot 1.75 hours to travel with the wind to get from Jacksonville to Myrtle Beach. Her return trip takes 2 hours flying against the wind. What is the speed of the wind and the speed of the plane in still air if the distance between Jacksonville and Myrtle Beach is 280 miles?

Answer: Plane 150 mph, wind 10 mph

Involving Distance, Rate, Time Nikki and Tatiana rollerblade in

opposite directions. Tatiana averages 2 mph faster than Nikki. If they began at the same place and ended up 20 miles apart after 2 hours, how fast did each of them travel?

Answer: Nikki 4 mph, Tatiana 6 mph

Involving Geometry

Two angles are complementary. One angle measures 6˚ more than 5 times the measure of the other. What are the measure of the two angles?

Answer: 76 and 14 degrees

Distance

A car and a truck leave cities 460 miles apart, traveling toward each other. The car travels 15 miles per hour faster than the truck. They pass one another 4 hours later. What are their speeds?

Answer: truck 50 mph, car 65 mph

Cost

Elle went to Pet Smart and bought 4 goldfish and 3 turtles for $28. Later that day, Warren went to Pet Smart and bought 6 goldfish and 1 turtle for $10. How much does 1 goldfish cost?

Answer: goldfish are $0.14 and turtles are $9.16