1 The sum of two numbers os 41. One number 3 times as large as the other. What are the numbers?
2 In a family there are two cars. In a given week, the car gets an average of 20 miles per gallon, and the second car gets 25 miles per gallon. The two cars combined drive a total of 1025 miles in that week, for a total gas a total gas consumption of 45 gallons. How many gallons were consumed by each of the two cars that week?
3 An airplane takes 9 hours to travel a distance of 7776 km against the wind. The return trip takes 8 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
4 The sum of two numbers is 64. The smaller number is 20 less than the larger number. What are the numbers?
5 Two rainstorms occurred in one week in a certain area. The first storm lasted 35 hours, and the second storm lasted 25 hours, for a total 1075 mL. of rain. What was the rate of rainfall for each of the two storms in the sum of the two rates was 35 mL. per hour?
6 A jet travels 1884 mi against the wind in 3 hours and 2274 mi with the wind in the same amount of time. What is the rate of the het in still air and what is the rate of the wind?
The solution is comprised of a detailed step-by-step calculation and explanation of the various problems related to Algebra. This solution provides students with a clear perspective of how to solve word problems related to Linear Equations in One Variable and Linear Equations in Two Variables.