Answer :
To solve the equation [tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex], we start by understanding that it is a proportion. We can solve this proportion by using cross-multiplication. Here's how you do it:
1. Cross-multiply: Multiply the numerator of one fraction by the denominator of the other fraction across the equal sign. Do the same for the other pair.
[tex]\[
20 \times x = 50 \times 30
\][/tex]
2. Simplify the multiplication: Calculate the right side of the equation:
[tex]\[
20x = 1500
\][/tex]
3. Solve for [tex]\(x\)[/tex]: To find the value of [tex]\(x\)[/tex], divide both sides of the equation by 20:
[tex]\[
x = \frac{1500}{20}
\][/tex]
4. Calculate the division: Perform the division:
[tex]\[
x = 75
\][/tex]
Thus, the solution for [tex]\(x\)[/tex] is [tex]\(75\)[/tex].
1. Cross-multiply: Multiply the numerator of one fraction by the denominator of the other fraction across the equal sign. Do the same for the other pair.
[tex]\[
20 \times x = 50 \times 30
\][/tex]
2. Simplify the multiplication: Calculate the right side of the equation:
[tex]\[
20x = 1500
\][/tex]
3. Solve for [tex]\(x\)[/tex]: To find the value of [tex]\(x\)[/tex], divide both sides of the equation by 20:
[tex]\[
x = \frac{1500}{20}
\][/tex]
4. Calculate the division: Perform the division:
[tex]\[
x = 75
\][/tex]
Thus, the solution for [tex]\(x\)[/tex] is [tex]\(75\)[/tex].
