BlackpinkOffical
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

solve;
i) X+10%of X =22
ii)x+20%of X=rs60
iii)X+25%ofx=rs120
iv)X=rs200+50%of X
v)X=180+10%of x​
question from equation and inequality.​

Sagot :

MrRoyal

Answer:

[tex]i.\ x = 20[/tex]

[tex]ii.\ x = rs50[/tex]

[tex]iii.\ x = rs96[/tex]

[tex]iv.\ x =rs400[/tex]

[tex]v.[/tex] [tex]x = 200[/tex]

Explanation:

[tex]i.\ x + 10\%\ of\ x = 22[/tex]

[tex]x + 10\%\ of\ x = 22[/tex]

Represent of as *

[tex]x + 10\%\ * x = 22[/tex]

Convert % to decimal

[tex]x + 0.10\ * x = 22[/tex]

[tex]x + 0.10x = 22[/tex]

[tex]1.10x = 22[/tex]

Solve for x

[tex]x = \frac{22}{1.10}[/tex]

[tex]x = 20[/tex]

[tex]ii.\ x+20\%\ of\ x=rs60[/tex]

[tex]x+20\%\ of\ x=rs60[/tex]

Represent of as *

[tex]x+20\%* x=rs60[/tex]

Convert % to decimal

[tex]x+0.20* x=rs60[/tex]

[tex]x+0.20x=rs60[/tex]

[tex]1.20x=rs60[/tex]

Solve for x

[tex]x = \frac{rs60}{1.20}[/tex]

[tex]x = rs50[/tex]

Apply the same steps in (i) & (ii) to the following

[tex]iii.\ x+25\%\ of\ x=rs120[/tex]

[tex]x+25\%\ of\ x=rs120[/tex]

[tex]x+25\%* x=rs120[/tex]

[tex]x+0.25* x=rs120[/tex]

[tex]x+0.25x=rs120[/tex]

[tex]1.25x=rs120[/tex]

[tex]x = \frac{rs120}{1.25}[/tex]

[tex]x = rs96[/tex]

[tex]iv.\ x=rs200 + 50\%\ of\ x[/tex]

[tex]x=rs200 + 50\%\ of\ x[/tex]

[tex]x=rs200 + 50\%* x[/tex]

[tex]x=rs200 + 0.50*x[/tex]

[tex]x=rs200 + 0.50x[/tex]

[tex]x - 0.50x = rs200[/tex]

[tex]0.50x = rs200[/tex]

[tex]x = \frac{rs200}{0.50}[/tex]

[tex]x =rs400[/tex]

[tex]v.\ x=180 + 10\%\ of\ x[/tex]

[tex]x=180 + 10\%\ of\ x[/tex]

[tex]x=180 + 10\%*x[/tex]

[tex]x=180 + 0.10*x[/tex]

[tex]x=180 + 0.10x[/tex]

[tex]x-0.10x=180[/tex]

[tex]0.90x=180[/tex]

[tex]x = \frac{180}{0.9}[/tex]

[tex]x = 200[/tex]

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.