Answer :
To find the original number where 114 is 24% of it, follow these steps:
1. Understand the Relationship: When we say 114 is 24% of a number, we're expressing it in the form:
[tex]\( 114 = 0.24 \times \text{original number} \)[/tex].
2. Set Up the Equation: Let [tex]\( x \)[/tex] be the original number we need to find. Based on the relationship stated:
[tex]\( 114 = 0.24 \times x \)[/tex].
3. Solve for [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], you need to divide both sides of the equation by 0.24:
[tex]\[
x = \frac{114}{0.24}
\][/tex]
4. Calculate: Perform the division:
[tex]\[
x = 475
\][/tex]
Therefore, the original number is 475.
1. Understand the Relationship: When we say 114 is 24% of a number, we're expressing it in the form:
[tex]\( 114 = 0.24 \times \text{original number} \)[/tex].
2. Set Up the Equation: Let [tex]\( x \)[/tex] be the original number we need to find. Based on the relationship stated:
[tex]\( 114 = 0.24 \times x \)[/tex].
3. Solve for [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], you need to divide both sides of the equation by 0.24:
[tex]\[
x = \frac{114}{0.24}
\][/tex]
4. Calculate: Perform the division:
[tex]\[
x = 475
\][/tex]
Therefore, the original number is 475.
