Question
Complete: (1) 35 is \( 70 \% \) of \( \ldots \) 。 (2) 18 is \( 30 \% \) of \( \ldots \) (3) 23 is \( 115 \% \) of ...
Ask by Adkins Reeves. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
(1) 35 is 70% of 50.
(2) 18 is 30% of 60.
(3) 23 is 115% of 20.
Solution
Sure, let's complete each statement by finding the missing number. We'll solve each problem step-by-step.
---
**(1) 35 is \( 70\% \) of \( \ldots \).**
**Solution:**
Let the missing number be \( x \).
\[
35 = 70\% \times x
\]
Convert \( 70\% \) to a decimal:
\[
35 = 0.70 \times x
\]
Solve for \( x \):
\[
x = \frac{35}{0.70} = 50
\]
**Answer:** 50
---
**(2) 18 is \( 30\% \) of \( \ldots \).**
**Solution:**
Let the missing number be \( x \).
\[
18 = 30\% \times x
\]
Convert \( 30\% \) to a decimal:
\[
18 = 0.30 \times x
\]
Solve for \( x \):
\[
x = \frac{18}{0.30} = 60
\]
**Answer:** 60
---
**(3) 23 is \( 115\% \) of \( \ldots \).**
**Solution:**
Let the missing number be \( x \).
\[
23 = 115\% \times x
\]
Convert \( 115\% \) to a decimal:
\[
23 = 1.15 \times x
\]
Solve for \( x \):
\[
x = \frac{23}{1.15} = 20
\]
**Answer:** 20
---
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Simplify this solution Beyond the Answer
(1) To find what 35 is 70% of, you can set up the equation \( 0.70 \times x = 35 \). Solving for \( x \), you divide 35 by 0.70, which results in \( x = 50 \). So, 35 is 70% of 50. (2) For 18 being 30% of something, use the same method: \( 0.30 \times x = 18 \). Dividing 18 by 0.30 gives you \( x = 60 \). Hence, 18 is 30% of 60. (3) When you want to know what 23 is 115% of, the equation is \( 1.15 \times x = 23 \). To find \( x \), divide 23 by 1.15, resulting in \( x = 20 \). Thus, 23 is 115% of 20.
