# Problem-Solving Models

Problem-solving models are essential frameworks utilized across various disciplines to address complex issues systematically and effectively. These models offer structured approaches for identifying, analyzing, and resolving problems, guiding individuals and organizations through the problem-solving process. By providing a clear methodology and steps to follow, problem-solving models enable individuals to approach challenges with clarity and confidence. Whether in business, engineering, psychology, or any other field, these models serve as invaluable tools for decision-making and innovation. In this essay, we will explore different problem-solving models, their components, and their applications in diverse contexts.

- The sum of the squares of two positive numbers is 80 and the difference of the squares of the numbers is 48. How do you find the numbers?
- Addison plays 1/2 of a song 1/8 of a minute. How many minutes will he need to play a full song?
- How do you solve #1+ 3a = - 8- 4a#?
- One day a store sold 27 sweatshirts. White ones cost $11.95 and yellow ones cost $12.50. In all, $331.45 worth of sweatshirts were sold. How many of each color were sold?
- One half of a number increased by 16 is four less than two thirds of the number. What are the numbers?
- Eric's bird feeder holds 1/3 of a cup of birdseed. Eric is filling the bird feeder with a scoop that holds 1/6 of a cup. How many scoops of birdseed will Eric put into the feeder?
- A single-serving carton of yogurt costs 73 cents. A case of 8 single-serving cartons costs $5.36. How much is saved per carton by buying the yogurt by the case?
- The sum of two consecutive integers is 71. What are the integers?
- How do you find two positive numbers whose product is 144 and whose sum is a minimum?
- Diana purchased 6 pounds of strawberries and 4 pounds of apples for $18.90. Then she realized that this was not enough and purchased 3 more pounds of each fruit for $10.74. What was the cost per pound for each type of fruit?
- The sum of 2 numbers is 25 and their difference is 7. What are the numbers?
- Do all the natural numbers added up equal -1/12? If so, how?
- The product of two consecutive odd integers is 22 less than 15 times the smaller integer. What are the integers?
- The combined area of two squares is 20 square centimeters. Each side of one square is twice as long as a side of the other square. How do you find the lengths of the sides of each square?
- Evie's cell phone plan cost $35 a month with an additional 10 cents per minute for any minutes over 500 minutes per month. Evie was charged $37.20 in January, how many minutes did Evie use on her cell phone plan that month?
- How do you find the two consecutive even integers whose product is 840?
- When 4 is added to one-half the number x, the result is the same as if 2 had been subtracted from the number x. How do you write an equation that expresses this relationship?
- The winner in a recent Los Angeles Marathon ran the 26-mile race in 2.23 hours. How many yards per minute did he run?
- A submarine is cruising at a depth of 340 feet below sea level. How do you find the depth of the submarine after is ascends 76 feet?
- The sum of three consecutive integers is 267. What are the three integers?