In a school, the ratio of boys to girls is 4:3, and the ratio of girls to teachers is 8:1. What is the ratio of students to teachers?

Given:

Boys : Girls = 4 : 3

Girls : Teachers = 8 : 1

Step 1: Make girls common

LCM of 3 and 8 = 24

So scale both ratios:

Boys : Girls = $4:3 \times 8 = 32:24$
Girls : Teachers = $8:1 \times 3 = 24:3$

Step 2: Combine

So:
Boys : Girls : Teachers = $32 : 24 : 3$

Step 3: Students = Boys + Girls

Students = $32 + 24 = 56$

Step 4: Ratio of students to teachers

$56 : 3$

Final Answer: 56 : 3