Explanation:
We are given a proportion:
\[
\frac{6}{15} = \frac{x}{20}
\]
To solve for \(x\), we use the
cross-multiplication method. That means we multiply the numerator of one fraction by the denominator of the other, and set them equal:
\[
6 \cdot 20 = 15 \cdot x
\]
Now compute the left side:
\[
6 \cdot 20 = 120
\]
So:
\[
15x = 120
\]
To find \(x\), divide both sides by 15:
\[
x = \frac{120}{15} = 8
\]
Let’s double-check:
Plug \(x = 8\) back into the original proportion:
\[
\frac{6}{15} = \frac{8}{20}
\]
Simplify both fractions:
- \(\frac{6}{15} = \frac{2}{5}\) (divide top and bottom by 3)
- \(\frac{8}{20} = \frac{2}{5}\) (divide top and bottom by 4)
They match! So the answer is correct.
Final Answer:
8
Parent Tip: Review the logic above to help your child master the concept of proportions worksheet with answers.
