To find the total number of students at Westside Middle School, we know that 10 percent of the students participate in soccer and that this equates to 140 students. We can set up the following equation based on this information:
Let \( x \) represent the total number of students in the school. Then:
\[ 0.10x = 140 \]
To find \( x \), we can divide both sides by 0.10:
\[ x = \frac{140}{0.10} = 1400 \]
So, the total number of students in the school is 1,400.
Now, let's evaluate the statements:
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The total number of students is greater than 140.
- This is True since 1,400 is greater than 140.
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The total number of students is less than 140.
- This is False since 1,400 is not less than 140.
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(10)(14) = 140, so 100(14) = 1,400 students.
- This is True. While \( 10 \times 14 = 140 \) holds true, it correctly supports the conclusion that there are 1,400 students based on that reasoning.
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140 + 10 = 150, so 150 + 140 = 290 students.
- This is False. The calculations are incorrect to assert the total number of students.
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There are 140 + 10 = 150 students at Westside Middle School.
- This is False. The total is actually 1,400 students.
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The percent as a part to whole ratio is StartFraction 140 Over 100 EndFraction.
- This is False. The correct ratio based on the percentages would be \( \frac{140}{1400} \).
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The percent as a part to whole ratio is StartFraction 10 Over 100 EndFraction.
- This is True. This percentage represents the participation in soccer per the total students.
In summary, the true statements are: 1, 3, and 7.