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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]

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