Answer :
To solve the equation [tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex] for [tex]\(x\)[/tex], follow these simple steps:
1. Set up the equation:
You have [tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex].
2. Use cross-multiplication to eliminate the fractions:
Multiply across the equals sign diagonally:
[tex]\(20 \times x = 50 \times 30\)[/tex].
3. Calculate the products:
- On the left side, it's [tex]\(20 \times x = 20x\)[/tex].
- On the right side, it's [tex]\(50 \times 30 = 1500\)[/tex].
4. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 20 to solve for [tex]\(x\)[/tex]:
[tex]\(20x = 1500\)[/tex]
[tex]\(x = \frac{1500}{20}\)[/tex].
Simplify the division:
[tex]\(x = 75\)[/tex].
Therefore, the solution is [tex]\(x = 75\)[/tex].
1. Set up the equation:
You have [tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex].
2. Use cross-multiplication to eliminate the fractions:
Multiply across the equals sign diagonally:
[tex]\(20 \times x = 50 \times 30\)[/tex].
3. Calculate the products:
- On the left side, it's [tex]\(20 \times x = 20x\)[/tex].
- On the right side, it's [tex]\(50 \times 30 = 1500\)[/tex].
4. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 20 to solve for [tex]\(x\)[/tex]:
[tex]\(20x = 1500\)[/tex]
[tex]\(x = \frac{1500}{20}\)[/tex].
Simplify the division:
[tex]\(x = 75\)[/tex].
Therefore, the solution is [tex]\(x = 75\)[/tex].
