Question
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Tutor-Verified Answer
Answer
The missing percentage is 50%.
Solution
1. Write the equation representing the problem:
\[
\frac{\square}{100} \times 68 = 34
\]
2. Let \( x \) represent \(\square\). The equation becomes:
\[
\frac{x}{100} \times 68 = 34
\]
3. Multiply both sides of the equation by \(100\) to eliminate the denominator:
\[
68x = 34 \times 100
\]
4. Calculate the right-hand side:
\[
68x = 3400
\]
5. Divide both sides by \(68\) to solve for \(x\):
\[
x = \frac{3400}{68}
\]
6. Simplify the fraction:
\[
x = 50
\]
Thus, the missing percentage is \(50\%\).
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Simplify this solution Mind Expander
To find the percentage, you can set up the equation \( x\% \) of \( 68 \) equals \( 34 \). This translates into the equation \( \frac{x}{100} \times 68 = 34 \). Thus, when you rearrange it, you find that \( x = \frac{34 \times 100}{68} \), which simplifies to \( x = 50 \). So, \( 50\% \) of \( 68 \) is indeed \( 34 \). Now, if you encounter a similar problem involving percentages, remember that percentages are just one way to express a proportion. Consider using fractions or decimals; sometimes converting can give you a clearer picture, especially when dealing with larger numbers!
