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Solving Problems Using Linear Systems

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

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  1. Solving Problems Using Linear Systems MPM 2D Make Up July 2012

  2. 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?

  3. 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.

  4. 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?

  5. Example 4 • The sum of two numbers is 255. When the smaller is subtracted from the larger, the result is 39. Find the numbers.

  6. 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?

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