Algebra 1 Name ___________________________ Problem Solving 1. Three boys, Josh, Hans, and Simon, are sitting around on a farm with nothing to do. They walk into the barn and notice a scale used to weigh cattle. They decide to weigh themselves. Unfortunately, the scale begins at 100 kg. The problem is that none of them weigh more than 100 kg. They decide to weigh themselves in pairs. Josh was sure that he weighed the most. Hans & Simon = 132 kg Simon & Josh = 151 kg Josh & Hans = 137 kg How much did they each weigh? 2. You have $1.65 made up of pennies, nickels, and dimes. Half of the coins are nickels. How many coins of each do you have? 3. The six hundred members of the ninth-grade class are seated in rows, each of which contains the same number of chairs, and every chair is occupied. If five more chairs were in each row, everyone could be seated in four fewer rows. How many chairs are in each row? 4. What are the next two numbers in the sequence? 11, 31, 71, 91, 32, 92, 13, 73, 14, 34, 74, 35, 95, …
Algebra 1 Name ___________________________ Problem Solving 1. Three boys, Josh, Hans, and Simon, are sitting around on a farm with nothing to do. They walk into the barn and notice a scale used to weigh cattle. They decide to weigh themselves. Unfortunately, the scale begins at 100 kg. The problem is that none of them weigh more than 100 kg. They decide to weigh themselves in pairs. Josh was sure that he weighed the most. Hans & Simon = 132 kg Simon & Josh = 151 kg Josh & Hans = 137 kg How much did they each weigh? 2. You have $1.65 made up of pennies, nickels, and dimes. Half of the coins are nickels. How many coins of each do you have? 3. The six hundred members of the ninth-grade class are seated in rows, each of which contains the same number of chairs, and every chair is occupied. If five more chairs were in each row, everyone could be seated in four fewer rows. How many chairs are in each row? 4. What are the next two numbers in the sequence? 11, 31, 71, 91, 32, 92, 13, 73, 14, 34, 74, 35, 95, …
problemsolving1.docx