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Story Problems. Four Step Method. The Four Step Method: Define your variable(s) Ask: How many things am I looking for? Describe these with a word description and an algebraic description Write Equation (Use a verbal model if needed.) Solve the equation (Show all work.)
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Story Problems Four Step Method
The Four Step Method: • Define your variable(s) • Ask: How many things am I looking for? • Describe these with a word description and an algebraic description • Write Equation (Use a verbal model if needed.) • Solve the equation (Show all work.) • Answer with a sentence
The original price = x 200 + 1/3 x = 7500 1/3 x = 7300 X = 21900 The original price was $21,900. Jill bought a used car for $200 more than a third of the original price. She paid $7500. What was the original price?
Manny picked out a refrigerator at the Rent-to-Own Store. His contract was to pay a down payment of $520 and $95 a month. The final cost of the refrigerator was $2800. In how many months will Manny own the refrigerator? Number of months = x 520 + 95x = 2800 95x = 2280 X = 24 Manny had to pay $95 for 24 months.
Mrs. Foley has three children; Anna, Bobbie, and Cathy. Anna is twice Cathy’s age and Bobbie is 4 less than twice Cathy’s age. The sum of the children’s ages is 21. Find the ages of Mrs. Foley’s three children. Anna’s age = 2x Bobbie’s age =2x – 4 Cathy’s age = x 2x + 2x – 4 + x = 21 5x – 4 = 21 5x = 25 X = 5 Cathy was 5. Bobbie was 6. Anna was 10.
Pete is on a diet and is allowed 750 calories for lunch. A chicken sandwich has 540 calories and a single French fry has 15 calories. How many French fries can Pete eat with his chicken sandwich to have a total of 750 calories for lunch? # of French fries = x 540 + 15x = 750 15x = 210 X = 14 Pete can eat 14 French fries.