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?
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?
एक स्कूल में लड़के और लड़कियों का अनुपात 4:3 है और लड़कियों और शिक्षकों का अनुपात 8:1 है। छात्रों और शिक्षकों का अनुपात क्या है?
Detailed Solution & Logic
Correct Answer:
56 :3
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
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