Respuesta :
Answer:
323
Step-by-step explanation:
.75 x = 255
x = 255 / .75 = 340
340 * .95 = 323
Answer:
[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]
Step-by-step explanation:
Let the number be taken as 'x'.
Given,
- [tex]75[/tex]% of x = [tex]255[/tex]
- [tex]20[/tex]% of x = [tex]68[/tex]
- [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]
Then,
1) [tex]75[/tex]% of x = [tex]255[/tex]
[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]
2) [tex]20[/tex]% of x = [tex]68[/tex]
[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]
We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .
Now,
3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]
[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]
[tex]\rule{150pt}{2pt}[/tex]