1. **State the problem:** We are given a pattern where a word with a slash (e.g., X/MAS) corresponds to a fraction (24/247) and then to a decimal (0.097). We need to find the decimal values for the other words following the same pattern and then sum all decimals for the password code. 2. **Analyze the given example:** - X/MAS → 24 / 247 → 0.097 - The decimal 0.097 is approximately $\frac{24}{247} \approx 0.097165$ rounded to three decimal places. 3. **Identify the pattern:** - The numerator (24) and denominator (247) likely come from the letters in "X/MAS". - Count the letters in each part: - "X" has 1 letter. - "MAS" has 3 letters. - Sum of letters: 1 + 3 = 4 - But 24 and 247 are not directly related to letter counts. 4. **Try letter values:** Assign each letter its alphabetical position (A=1, B=2, ..., Z=26). - X = 24 - M = 13, A = 1, S = 19 - Sum of second part letters: 13 + 1 + 19 = 33 - Numerator is 24 (value of X) - Denominator is 247, which is 24 + 33 + 190? 5. Check if denominator is sum of letter values plus something: - 24 (X) + 33 (MAS) = 57, not 247. 6. Check if denominator is sum of letter values multiplied by 7.5: - 33 * 7.5 = 247.5 ~ 247 - Numerator is value of first part letter(s) (X=24) - Denominator is sum of second part letters times 7.5 7. Confirm pattern: - Numerator = sum of letter values in first part - Denominator = sum of letter values in second part * 7.5 - Decimal = numerator / denominator 8. Apply to other words: - SN/OW - S=19, N=14 → numerator = 19+14=33 - O=15, W=23 → denominator = (15+23)*7.5=38*7.5=285 - Decimal = 33/285=0.115789 → 0.116 - CLA/US - C=3, L=12, A=1 → numerator=16 - U=21, S=19 → denominator=(21+19)*7.5=40*7.5=300 - Decimal=16/300=0.053333 → 0.053 - GIF/T - G=7, I=9, F=6 → numerator=22 - T=20 → denominator=20*7.5=150 - Decimal=22/150=0.146667 → 0.147 - BEL/LS - B=2, E=5, L=12 → numerator=19 - L=12, S=19 → denominator=(12+19)*7.5=31*7.5=232.5 - Decimal=19/232.5=0.081720 → 0.082 - ST/ARS - S=19, T=20 → numerator=39 - A=1, R=18, S=19 → denominator=(1+18+19)*7.5=38*7.5=285 - Decimal=39/285=0.136842 → 0.137 9. **Sum all decimals:** $$0.097 + 0.116 + 0.053 + 0.147 + 0.082 + 0.137 = 0.632$$ 10. **Final answer:** The password code is **0.632**.