Answer :
Let's solve each part step by step.
(a) 186% of what number is 56.73?
1. Let the unknown number be [tex]$x$[/tex].
2. Since 186% as a decimal is [tex]$1.86$[/tex], we can write the equation:
[tex]$$1.86 \times x = 56.73.$$[/tex]
3. To solve for [tex]$x$[/tex], divide both sides of the equation by [tex]$1.86$[/tex]:
[tex]$$x = \frac{56.73}{1.86}.$$[/tex]
4. Evaluating the division gives:
[tex]$$x \approx 30.5.$$[/tex]
(b) 32.5% of 38.4 is what?
1. Convert 32.5% to a decimal by dividing by 100. Thus, the decimal form is [tex]$0.325$[/tex].
2. Multiply [tex]$38.4$[/tex] by [tex]$0.325$[/tex]:
[tex]$$38.4 \times 0.325 = 12.48.$$[/tex]
Final Answers:
- For part (a), the unknown number is [tex]$\approx 30.5$[/tex].
- For part (b), 32.5% of 38.4 is [tex]$12.48$[/tex].
(a) 186% of what number is 56.73?
1. Let the unknown number be [tex]$x$[/tex].
2. Since 186% as a decimal is [tex]$1.86$[/tex], we can write the equation:
[tex]$$1.86 \times x = 56.73.$$[/tex]
3. To solve for [tex]$x$[/tex], divide both sides of the equation by [tex]$1.86$[/tex]:
[tex]$$x = \frac{56.73}{1.86}.$$[/tex]
4. Evaluating the division gives:
[tex]$$x \approx 30.5.$$[/tex]
(b) 32.5% of 38.4 is what?
1. Convert 32.5% to a decimal by dividing by 100. Thus, the decimal form is [tex]$0.325$[/tex].
2. Multiply [tex]$38.4$[/tex] by [tex]$0.325$[/tex]:
[tex]$$38.4 \times 0.325 = 12.48.$$[/tex]
Final Answers:
- For part (a), the unknown number is [tex]$\approx 30.5$[/tex].
- For part (b), 32.5% of 38.4 is [tex]$12.48$[/tex].
