Pregunta
\( 1 \leftarrow \) Complete parts a) and b). a) If \( 30 \% \) of a number is 60 , is the number greater than or less than 60 ? Explain. b) If \( 150 \% \) of a number is 60 , is the number greater than or less than 60 ? Explain.
Ask by Tran Hodges. in the United States
Mar 22,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
a) The number is greater than 60.
b) The number is less than 60.
Solución
a) Given that \( 30\% \) of a number \( x \) is 60, we write the equation as:
\[
0.30x = 60
\]
To solve for \( x \), divide both sides of the equation by \( 0.30 \):
\[
x = \frac{60}{0.30} = 200
\]
Since \( 200 > 60 \), the number is greater than 60.
b) Given that \( 150\% \) of a number \( x \) is 60, we write the equation as:
\[
1.50x = 60
\]
To solve for \( x \), divide both sides by \( 1.50 \):
\[
x = \frac{60}{1.50} = 40
\]
Since \( 40 < 60 \), the number is less than 60.
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Simplifique esta solución Bonus Knowledge
To tackle part a), we start with the equation derived from the statement: \( 0.30 \times x = 60 \). By solving for \( x \), we get \( x = \frac{60}{0.30} = 200 \). Hence, since 200 is greater than 60, we conclude that the number is greater than 60. For part b), we again set up an equation: \( 1.5 \times x = 60 \). Solving for \( x \) gives us \( x = \frac{60}{1.5} = 40 \). Since 40 is less than 60, we find that the number is less than 60.
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