Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 45 \)
Solution
To solve the proportion:
\[
\frac{5}{10} = \frac{x}{90}
\]
**Step 1: Cross-Multiply**
Multiply the numerator of one fraction by the denominator of the other fraction:
\[
5 \times 90 = 10 \times x
\]
\[
450 = 10x
\]
**Step 2: Solve for \( x \)**
Divide both sides of the equation by 10:
\[
x = \frac{450}{10} = 45
\]
**Answer:** \( x = 45 \)
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To solve the equation \( \frac{5}{10}=\frac{x}{90} \), we can cross-multiply for a quick solution. This gives us \( 5 \times 90 = 10 \times x \), resulting in \( 450 = 10x \). Dividing both sides by 10, we find \( x = 45 \). So, \( \frac{5}{10}=\frac{45}{90} \). You might have noticed that \( \frac{5}{10} \) simplifies to \( \frac{1}{2} \), while \( \frac{45}{90} \) also simplifies to \( \frac{1}{2} \). This is a neat demonstration of how equivalent fractions work! Whenever you see a ratio, you can often simplify it to a familiar form to easily compare or calculate.
