Answer :
To solve the equation [tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Set up the equation:
[tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex].
2. Cross-multiply the terms:
Multiply 20 by [tex]\(x\)[/tex] and 50 by 30, creating the equation:
[tex]\(20 \times x = 30 \times 50\)[/tex].
3. Simplify the right-hand side:
Calculate [tex]\(30 \times 50\)[/tex], which equals 1500.
4. Rewrite the equation:
The equation now is [tex]\(20x = 1500\)[/tex].
5. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 20 to isolate [tex]\(x\)[/tex]:
[tex]\[
x = \frac{1500}{20}
\][/tex]
6. Calculate the value of [tex]\(x\)[/tex]:
[tex]\(\frac{1500}{20} = 75\)[/tex].
Therefore, the solution for [tex]\(x\)[/tex] is 75.
1. Set up the equation:
[tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex].
2. Cross-multiply the terms:
Multiply 20 by [tex]\(x\)[/tex] and 50 by 30, creating the equation:
[tex]\(20 \times x = 30 \times 50\)[/tex].
3. Simplify the right-hand side:
Calculate [tex]\(30 \times 50\)[/tex], which equals 1500.
4. Rewrite the equation:
The equation now is [tex]\(20x = 1500\)[/tex].
5. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 20 to isolate [tex]\(x\)[/tex]:
[tex]\[
x = \frac{1500}{20}
\][/tex]
6. Calculate the value of [tex]\(x\)[/tex]:
[tex]\(\frac{1500}{20} = 75\)[/tex].
Therefore, the solution for [tex]\(x\)[/tex] is 75.
