Question
Find the number that makes the ratio equivalent to 1:6.
Ask by Reeves Summers. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is 6.
Solution
To find a number that makes the ratio equivalent to 1:6, we can set up the equation based on the definition of ratios.
Let \( x \) be the unknown number. The ratio of \( 1 \) to \( 6 \) can be expressed as:
\[
\frac{1}{6} = \frac{1}{x}
\]
Now, we can cross-multiply to solve for \( x \):
\[
1 \cdot x = 6 \cdot 1
\]
This simplifies to:
\[
x = 6
\]
Thus, the number that makes the ratio equivalent to 1:6 is \( 6 \).
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Simplify this solution Beyond the Answer
To create a ratio of 1:6, you can think of it like having 1 part of something compared to 6 parts of another. If you have a number, say "x," that represents the first part, then the second part would be 6 times that number, or 6x. For instance, if you were to choose 2 as your first number (1 part), then your second number would need to be 12 (which is 6 times 2). Hence, any number "x" will work as long as you keep the second number as 6 times that number. For example, if x = 3, the equivalent ratio would be 3:18, and it's still perfectly aligned with that 1:6 setup!
