Question
Applying the percent equation: Problem type 1 Answer the following questions. (a) What percent of 76 is 19 ? (b) 38 is \( 95 \% \) of what?
Ask by Norton Evans. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**(a)** 19 is 25% of 76.
**(b)** 38 is 95% of 40.
Solution
**(a)** We are asked to find what percent \( p \) of 76 is 19. This can be written as:
\[
\frac{p}{100} \times 76 = 19
\]
Solve for \( p \) by isolating \( p \):
\[
p = \frac{19 \times 100}{76}
\]
Simplify the expression:
\[
p = \frac{1900}{76} = 25
\]
Thus, 19 is \( 25\% \) of 76.
---
**(b)** Here, we have 38 as \( 95\% \) of some number \( x \). Write the equation:
\[
\frac{95}{100} \times x = 38
\]
Solve for \( x \):
\[
x = \frac{38 \times 100}{95}
\]
Simplify the calculation:
\[
x = \frac{3800}{95} = 40
\]
Therefore, 38 is \( 95\% \) of 40.
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Simplify this solution Mind Expander
To find what percent 19 is of 76, you can use the percent equation \( P = \frac{part}{whole} \times 100 \). Here, the part is 19 and the whole is 76. So, \( P = \frac{19}{76} \times 100 \), which simplifies to approximately 25%. For the second question, you need to determine the whole when 38 is 95% of it. You can set up the equation \( 38 = 0.95 \times whole \). To find the whole, divide 38 by 0.95, giving you around 40. Therefore, 38 is 95% of 40.
