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In a school bus, there are 54 students, the ratio of boys to girls is 5:4. If 3 boys leave the bus at their stop, the ratio of boys to girls would be ?

Solution

✅ Correct Option: 4

The total number of students is 54, with an initial ratio of boys to girls of 5:4.

The ratio 5:4 means there are 5 parts boys and 4 parts girls.

Total parts =5+4=9= 5 + 4 = 9

Number of boys initially:

Boys=59×54\text{Boys} = \frac{5}{9} \times 54

Boys=5×6\text{Boys} = 5 \times 6

Boys=30\text{Boys} = 30

Number of girls initially:

Girls=49×54\text{Girls} = \frac{4}{9} \times 54

Girls=4×6\text{Girls} = 4 \times 6

Girls=24\text{Girls} = 24


After 3 boys leave the bus:

Boys remaining =30−3=27= 30 - 3 = 27

Girls remaining =24= 24


The new ratio of boys to girls:

Ratio=27:24\text{Ratio} = 27 : 24

To simplify, divide both by their common factor 3:

27÷3=927 \div 3 = 9

24÷3=824 \div 3 = 8

Therefore, the new ratio of boys to girls is 9:89:8.

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