Question
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Answer
\( c = 20 \)
Solution
Given that 5 is one-fourth of a number \( c \), we can express this relationship as an equation:
\[ 5 = \frac{1}{4}c \]
To find the value of \( c \), we can solve this equation for \( c \).
Solve the equation by following steps:
- step0: Solve for \(c\):
\(5=\frac{1}{4}c\)
- step1: Swap the sides:
\(\frac{1}{4}c=5\)
- step2: Multiply by the reciprocal:
\(\frac{1}{4}c\times 4=5\times 4\)
- step3: Multiply:
\(c=20\)
The value of \( c \) is 20.
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Simplify this solution Beyond the Answer
To find the value of \( c \), you can set up an equation based on the information given: if 5 is one-fourth of \( c \), you have \( \frac{c}{4} = 5 \). Multiplying both sides by 4 gives you \( c = 20 \). Voila! The number you are looking for is 20, and it's always fun to see how simple algebra can unravel mysteries like this. In practical terms, this kind of problem can pop up in everyday situations, such as recipes where you need to scale ingredients. If a recipe calls for one-fourth of a cup of an ingredient and you know you're using 5 cups, multiplying to find out the total gives you valuable perspective on portion sizes! It's a neat way math connects to our daily lives.
