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Solving Problems Using Linear Systems. MPM 2D Make Up July 2012. Example 1. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?. Example 2.
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Solving Problems Using Linear Systems MPM 2D Make Up July 2012
Example 1 • The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
Example 2 • A riverboat took 2h to travel 24km down a river with the current and 3h to make the return trip against the current. Find the speed of the boat in still water and the speed of the current.
Example 3 • Nikolas drove 500 km from Windsor to Peterborough in 5 ½ hours. He drove part of the way at 100km/h and the rest of the way at 80km/h. How far did he drive at each speed?
Example 4 • The sum of two numbers is 255. When the smaller is subtracted from the larger, the result is 39. Find the numbers.
Example 5: Three Variables • When three numbers are added in pairs, the sums of the pairs are 22, 39, and 45. What are the three numbers?