Linear systems word problems Quiz Welcome to your Linear systems word problems Quiz Please click "Next" Solve the problem When you reverse the digits in a two-digit number you increase the value of the number by 54. What is the number if the sum of its digits is 10? 14 45 28 Hintcreate a system of two equations and solve it Solve the problem Jane has $300 made up of $5 bills and $10 bills. There are 3 more $10 bills than $5bills. Find the number of $5 bills. 18 five dollar bills 10 five dollar bills 30 five dollar bills HintCreate a system of two equations: one in terms of the number of bills and the other in terms of the value of bills. Then solve it Solve the problem Roger spent 2 h more travelling by train than he did by bus. The train averaged 70 km/h and the bus 50 km/h. The total distance travelled was 740 km. How far did he travel by bus? 50 km 250 km 740 km Solve the problem A chemist needs to make 10 L of 42% sulphuric acid solution. The acid solutions are sold as 30% and50% solutions. How many liters of each solution must be mixed together to make the 42% solution? 4 L of 30%, 6 L of 50% 5 L of 30%, 5 L of 50% 6 L of 30%, 4 L of 50% HintCreate two linear equations: one in terms of liters and the other in terms of concentration (remember to convert % into decimals). Then set up a system of two equations and solve it. Solve the problem Maya is three times older than her dog. Four years ago, she was seven times older. How old is Maya’s dog? 16 years old 6 months old 6 years old Time is Up! Time's up