# 4-7 Weighted Averages Mixture Problems 2 types Distance Problems.

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4-7 Weighted Averages Mixture Problems 2 types Distance Problems

 Suppose the Central Perk coffee shop sells a cup of espresso for \$2.00 and a cup of cappuccino for \$2.50. On Friday, Rachel sold 30 more cups of cappuccino than espresso, and she sold \$178.50 worth of espresso and cappuccino. How many cups of each were sold? Example #1: Mixture Problem Type 1 ItemAmount SoldCostTotal Cost Espresso Capp.

 Concert Receipts: For a jazz concert, student tickets are \$2 each and adult tickets are \$4 each. If 200 tickets are sold and the receipts are \$750, how many student tickets were sold? ItemAmount SoldCostTotal Cost Student adult Example #2: Mixture Problem Type 1

 Mixing Candies: The owner of a store wants to make a 30 lb. mixture of two candies to sell for \$3.00 per lb. If one candy sells for \$2.95 per lb. and the other for 3.10 per lb., how many pounds of each should be used? ItemAmount SoldCostTotal Cost Candy 1 Candy 2 MIXTURE

 The Quik Mart has two kinds of nuts. Pecans sell for \$1.55 per pound and walnuts sell for \$1.95 per pound. How many pounds of walnuts must be added to 15 pounds of pecans to make a mixture that sells for \$1.75 per pound? ItemAmount SoldCostTotal Cost Pecans Walnuts MIXTURE Example #4: Mixture Problem Type 2

 OPPOSITE DIRECTIONS: 2 vehicles traveling in opposite directions – when will they meet?  One car leaves Chicago headed for Cleveland, a distance of 343 miles. At the same time, a 2 nd car leaves Cleveland headed toward Chicago. If the 1 st car averages 50 mph, and the 2 nd car averages 48 mph, how long will it take for the cars to meet? VehicleRateTimeDistance Car 1 Car 2 HINT!! Distance of car 1 + Distance of car 2 = TOTAL DISTANCE Example #5: Distance Problem

 OVERTAKE PROBLEM: two vehicles traveling in SAME DIRECTION – when will one overtake the other?  A cyclist leaves Las Vegas riding at the rate of 18 mph. 1 hour later, a car leaves Vegas going 45 mph in the same direction. How long will it take the car to overtake the cyclist? VehicleRateTimeDistance Cyclist Car HINT!! Distance of car 1 = Distance of car 2 Example #6: Distance Problem