In school U, there are 1500 students with a boy to girl ratio of 12:13. If 25\% of the boys received scholarships and overall 20\% of the total students got scholarships, how many girls did not receive scholarships?

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**Solution:**

1. Calculate the number of boys and girls in school U:
   - Total students = 1500
   - Ratio of boys to girls = 12:13
   - Number of boys = $1500 \times \frac{12}{12+13} = 1500 \times \frac{12}{25} = 720$
   - Number of girls = $1500 \times \frac{13}{25} = 780$

2. Calculate the number of boys who received scholarships:
   - 25\% of boys got scholarships = $0.25 \times 720 = 180$

3. Calculate the total number of students who received scholarships:
   - 20\% of total students = $0.20 \times 1500 = 300$

4. Find the number of girls who received scholarships:
   - Girls who got scholarships = Total scholarships - Boys scholarships = $300 - 180 = 120$

5. Calculate the number of girls who did not receive scholarships:
   - Girls without scholarships = Total girls - Girls with scholarships = $780 - 120 = 660$

**Answer:** 660

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