1. **Stating the problem:** We have a grid with letters and numbers, and we want to find what numbers the letters represent based on the patterns in the table. 2. **Observing the table:** The table has 4 rows and 10 columns with letters and numbers mixed. The letters seem to correspond to certain numbers in a pattern related to multiplication or times tables. 3. **Identifying the pattern:** The numbers in the table are multiples of 3, 5, 7, 9, 10, etc. For example, the first row has numbers 3, 7, 9, and the last row has 60, 70, 80, 90, 100 which are multiples of 10. 4. **Matching letters to numbers:** - From the first row: I, A, 3, B, C, D, 7, E, 9, F - From the second row: A, B, D, E, F, 12, 14, 16, 18, G - From the third row: C, F, 15, G, 25, H, 35, I, 45, J - From the fourth row: F, G, H, I, J, 60, 70, 80, 90, 100 5. **Using the smaller grid:** - First row: A, I, D, G, J - Second row: B, E, H - Third row: C, F, I 6. **Finding letter values by comparing multiples:** - 3 is given, so 3 = 3 - 7 is given, so 7 = 7 - 9 is given, so 9 = 9 - 12, 14, 16, 18 are multiples of 2, 7, 8, 9 respectively - 15, 25, 35, 45 are multiples of 3, 5, 7, 9 respectively - 60, 70, 80, 90, 100 are multiples of 10 7. **Assigning values:** - A = 2 (since 12 is 2*6, and 12 appears with A) - B = 4 (since 14 is 7*2, but 14 is in second row with B, so B=4) - C = 5 (since 25 is 5*5, and 25 appears with C) - D = 6 (since 16 is 2*8, D is 6 to fit pattern) - E = 8 (since 18 is 2*9, E=8) - F = 10 (since 60 is 6*10, F=10) - G = 9 (since 18 and 90 appear with G, G=9) - H = 7 (since 35 is 7*5, H=7) - I = 3 (given) - J = 10 (since 100 is 10*10, J=10) 8. **Summary:** - I = 3 - A = 2 - B = 4 - C = 5 - D = 6 - E = 8 - F = 10 - G = 9 - H = 7 - J = 10 **Final answer:** The letters represent the numbers as above, showing a pattern of multiples in the times tables.