3.2 Applications of Systems of Equations

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3.2 Applications of Systems of Equations

Ex 1 Find the number of dimes and quarters in a collection consisting of 104 coins worth a total of $20.15. Coin and Stamp Problems

Ex 2 A basketball manager bought 7 shirts and 4 pairs of shoes for $490. Another manager, who paid the same prices, paid $290 for 5 shirts and 2 pairs of shoes. Find the cost of a shirt and the cost of a pair of shoes. Cost Problems

Ex 3 Investment Problems Mr. Smith invested $14,000, part at 5% and the rest at 8%. His total annual income from these investments was $1000. Find the amount he invested at each rate. Investment Problems

Ex 4 The perimeter of a rectangle is 78 cm. The length of the rectangle is twice the width. Find the dimensions of the rectangle. Perimeter Problems

Ex 5 A 700 mile flight from Chicago to New York with a tail wind takes 3hours and 20 minutes, but on the return trip flying against the wind, the flight takes 4 hours and 40 minutes. Find the plane speed and the wind speed. Distance Problems d = rt