Question
Give the value of \( x \) for each of these equivalent \( 3: 8 \rightarrow x: 24 \)
Ask by Ingram Park. in South Africa
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 9 \)
Solution
We have the proportion 3:8 = x:24. This means that the ratios are equivalent:
3/8 = x/24
To solve for x, cross-multiply:
3 × 24 = 8 × x
72 = 8x
Now divide both sides by 8:
x = 72/8
x = 9
So, the value of x is 9.
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Simplify this solution Beyond the Answer
To find the value of \( x \) in the equivalent ratio \( 3: 8 \rightarrow x: 24 \), we can set up a proportion: \[ \frac{3}{8} = \frac{x}{24} \] Cross-multiplying gives us: \[ 3 \times 24 = 8 \times x \] Which simplifies to: \[ 72 = 8x \] Now, divide both sides by 8 to solve for \( x \): \[ x = \frac{72}{8} = 9 \] So, the value of \( x \) is \( 9 \).
