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Word Problems Using Systems of equations. Free Powerpoint Templates. Step 1 Define your variables. Example 1: Darryl and Sarawong each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store.
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Word ProblemsUsing Systems of equations Free Powerpoint Templates
Step 1 Defineyour variables Example 1: Darryl and Sarawong each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Darryl spent $44 on 2 rose bushes and 6 pots of ivy. Sarawong spent $60 on 2 rose bushes and 10 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy? Ask yourself: What two things am I trying to find in the problem? cost of one rose bush and the cost of one pot of ivy Let the first one be x and the second one be y X = cost of one rose bush Y = cost of one pot of ivy
Step 2: Writeyourequations Question 1: Darryl and Sarawong each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Darryl spent $44 on 2 rose bushes and 6 pots of ivy. Sarawong spent $60 on 2 rose bushes and 10 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy? Find the 2 statements that describe the amounts and quantities. Darryl spent $44 on 2 rose bushes and 6 pots of ivy. Translated : 2x + 6y = 44 Sarawong spent $60 on 2 rose bushes and 10 pots of ivy. Translated : 2x + 10y = 60
Step 3 : Solveyour system 2x + 6y = 44 2x + 10y = 60
Step 4 : Answer the original question X = 10 means… Each rose bush cost $10 Y = 4 means… Each pot of ivycost $4
Example 2 Last Saturday night, an hour before your big party, you discover your toilet is not working properly. You get out the phone book and start making calls to plumbers. Toilets R Us says they charge $15 to come out and $11 per hour. Potty All The Time says they charge $10 to come out and $15 per hour. For what amount of time will they be the same? What will the cost be for that amount of time?