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Linear Inequalities Word Problems Examples

Learn how to solve word problems using systems of linear inequalities with three practical scenarios covering work hours, fuel costs, and salad ingredients. Practice creating and solving systems of inequalities step by step.

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Linear Inequalities Word Problems Examples

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  1. Systems Of Linear Inequalities Word Problems

  2. 1. You can work a total of no more than 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system of inequalities. h = house cleaning hours s = sales job hours Hours: h + s ≤ 41 Money: 5h + 8s ≥ 254

  3. 2. Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequalities to represent this situation. x = gallons of fuel x y = gallons of fuel y Price: 2x + 3y ≤ 18 Gallons of x: x ≥0 Gallons of y: y ≥ 0

  4. 3. A salad contains ham and chicken. There are atmost 6 pounds of ham and chicken in the salad. Write a system of inequalities to represent this situation. h = lbs. of ham c = lbs. of chicken Total Pounds: h + c ≤ 6 Pounds of ham: h ≥ 0 Pounds of chicken: c ≥ 0

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