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The junior class at Mooreland High is co...

The junior class at Mooreland High is composed of boys and girls in a ratio of 5:1. All of the following could be the number of students in the junior class EXCEPT.

A

`24`

B

`42`

C

`54`

D

`62`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the ratio of boys to girls in the junior class at Mooreland High, which is given as 5:1. ### Step-by-Step Solution: 1. **Understand the Ratio**: The ratio of boys to girls is 5:1. This means for every 5 boys, there is 1 girl. 2. **Express in Terms of Variables**: Let the number of boys be represented as \(5x\) and the number of girls as \(1x\), where \(x\) is a common multiplier. 3. **Calculate Total Students**: The total number of students in the class can be calculated as: \[ \text{Total Students} = \text{Number of Boys} + \text{Number of Girls} = 5x + 1x = 6x \] This shows that the total number of students must be a multiple of 6. 4. **Identify Possible Options**: We need to check which of the provided options is not a multiple of 6. The options given are: - 24 - 42 - 54 - 62 5. **Check Each Option**: - **24**: \(24 \div 6 = 4\) (This is a multiple of 6) - **42**: \(42 \div 6 = 7\) (This is a multiple of 6) - **54**: \(54 \div 6 = 9\) (This is a multiple of 6) - **62**: \(62 \div 6 \approx 10.33\) (This is NOT a multiple of 6) 6. **Conclusion**: The only number that is not a multiple of 6 is 62. Therefore, the answer is: \[ \text{The number of students in the junior class could be any of the following EXCEPT } 62. \]
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