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Given a 3x4 grid with letters C, Y, R, T in specific cells, and row/column sums, find the values of C, Y, R, and T.

Mathematics

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Step 1: Assign variables to each letter and write down the equations from the grid.
Let the values be:

  • Cy = aa
  • C = cc
  • R = bb
  • T = dd

From the grid, we can form a system of equations based on the row and column sums:

Row sums:

  1. a+b+a+d=15  ⟹  2a+b+d=15a + b + a + d = 15 \implies 2a + b + d = 15
  2. c+d+a+d=23  ⟹  a+c+2d=23c + d + a + d = 23 \implies a + c + 2d = 23
  3. $b + c + b + d
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