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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Two classmates got together over the weekend to do their assigned History reading. Oscar can read 11 page per minute, while Luther can read 44 pages per minute. When they met, Oscar had already read 5353 pages, and Luther had already gotten through 2323 pages. After a while, they had both read the same number of pages. How long did that take? How many pages had each one read? After tt minutes, Oscar and Luther had each read pp pages.

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Q. Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Two classmates got together over the weekend to do their assigned History reading. Oscar can read 11 page per minute, while Luther can read 44 pages per minute. When they met, Oscar had already read 5353 pages, and Luther had already gotten through 2323 pages. After a while, they had both read the same number of pages. How long did that take? How many pages had each one read? After tt minutes, Oscar and Luther had each read pp pages.
  1. Define variables: Let's define the variables: Let tt be the time (in minutes) they read together. Let pp be the total pages each read. Oscar's rate is 11 page per minute, and Luther's rate is 44 pages per minute. Oscar starts with 5353 pages, and Luther starts with 2323 pages.
  2. Write equations: Write the equations based on the information: Oscar's equation: 53+1t=p53 + 1t = p. Luther's equation: 23+4t=p23 + 4t = p.
  3. Set equations equal: Set the equations equal to solve for tt: 53+t=23+4t53 + t = 23 + 4t.
  4. Simplify and solve: Simplify and solve for tt: 53−23=4t−t53 - 23 = 4t - t, 30=3t30 = 3t, $t = \(10\).

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