Free Practice Question
PS · Problem Solving
555-605
Fractions/Ratios/Decimals
In a classroom, the ratio of boys to girls was 9:13. After adding 5 boys and 4 girls, what could be the new total number of students in the class?
Answer Choices
Correct answer marked belowA
26
B
35
53
Correct
D
72
E
104
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Explanation
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Official Explanation
Official
Initially, the number of boys and girls can be represented as 9y and 13y respectively. After the addition, the number of boys becomes 9y + 5 and the number of girls becomes 13y + 4. Therefore, the new total number of students is given by: 9y + 5 + 13y + 4 = 22y + 9. To find possible values for the total, we can substitute different values for y and check the…
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Comments
2
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N
NMay 26, 2024
thanksss
T
TanujFeb 28, 2025
thank you taking time to upload it!
What this question tests
What it tests
Your ability to convert between fractions, ratios, and decimals and to reason proportionally.
Common trap
Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.
Details
Difficulty
555-605
Type
PS
Category