Objective - To solve various problems using systems of linear equations. We will be studying 3 types of problems 1) Number and Value Problems 2) Mixture Problems 3) Comparison Problems
Number and Value Problem #1 Joe bought 15 items for $135. If the 15 items consisted of notebooks that cost $4. 50 each and calculators that cost $12. 00 each, how many of each did he buy? Let x = # of notebooks Let y = # of calculators
Number and Value Problem #2 Merna raised $24 by selling 40 baked items for the Builders Club. She sold cookies for 50 cents each and brownies for 75 cents each. How many of each did she sell? Let c = # of cookies Let b = # of brownies
Mixture Problem #1 A 12 pound mixture of peanuts and cashews sells for $6. 50/lb. If peanuts sell for $3 per pound and cashews sell for $8 per pound, how many pounds of peanuts are in the mix? Let p = peanuts (in lbs. ) Let c = cashews(in lbs. )
Mixture Problem #2 A 10% acid solution is mixed with a 60% acid solution to produce 120 liters of a solution that is 40% acid. How much of each solution was used to create the mixture? Let x = liters of 10% sol. Let y = liters of 60% sol.
Comparison Problem The population of Clinton is 50, 000 but is growing at 2500 people per year. Oak Valley has a population of 26, 000 but is growing at 4000 people per year. When will both towns have equal population. Let x = # of years Let p = population Clinton Oak Valley
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