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ALGEBRA UNIT 7 Writing Inequalities Word Problems. Example #1.
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Example #1 Maria wants to spend at most $50 for a bouquet of roses and carnations. Roses cost $5 each and carnations cost $2 each. She wants her bouquet to have at least 3 more roses than carnations. Write a system of inequalities to represent this situation. VARIABLES: R = # of roses C = # of carnations COST: 5R + 2C < 50 AMOUNT: R > C + 3 • TYPES OF INEQUALITIES: • Cost of roses and carnations • Amount of roses compared to carnations
Example #2 John is packing books into boxes. Each box can hold either 15 small books or 8 large books. He needs to pack at least 35 boxes and at least 350 books. Write a system of linear inequalities to represent the situation. VARIABLES: S = # of small books L = # of large books BOOKS: S + L > 350 BOXES: 15S + 8L > 35 • TYPES OF INEQUALITIES: • # of boxes • # of books