Question
Answer the following questions. (a) \( 35 \% \) of what number is 14 ? (b) \( 65 \% \) of 60 is what?
Ask by Edwards Little. in the United States
Feb 07,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
(a) 35% of 40 is 14.
(b) 65% of 60 is 39.
Solution
Calculate the value by following steps:
- step0: Calculate:
\(0.65\times 60\)
- step1: Multiply the numbers:
\(39\)
Solve the equation \( 0.35x=14 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0.35x=14\)
- step1: Divide both sides:
\(\frac{0.35x}{0.35}=\frac{14}{0.35}\)
- step2: Divide the numbers:
\(x=40\)
Here are the solutions to the questions:
(a) To find out what number \( x \) satisfies \( 35\% \) of \( x \) being equal to \( 14 \), we set up the equation:
\[
0.35x = 14
\]
Solving for \( x \), we find:
\[
x = 40
\]
So, \( 35\% \) of \( 40 \) is \( 14 \).
(b) To find \( 65\% \) of \( 60 \), we calculate:
\[
0.65 \times 60 = 39
\]
Thus, \( 65\% \) of \( 60 \) is \( 39 \).
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Simplify this solution Bonus Knowledge
To find out what number 14 is \( 35\% \) of, you can set up the equation \( 0.35 \times x = 14 \). Solving for \( x \) gives you \( x = \frac{14}{0.35} \), which results in \( x = 40 \). So, \( 35\% \) of 40 is 14! For the second question, to find out what \( 65\% \) of 60 is, you can calculate it by multiplying \( 60 \) by \( 0.65 \). So, \( 60 \times 0.65 = 39 \). Therefore, \( 65\% \) of 60 is 39!
