Question

If X+Y = 92200 and 0.12X + 0.18Y = 14064.38, then what is X and Y?

Answer 1

Answer:

0.12x+0.18y=14064.38

multiple 100 on both sides

12x+18y=1406438

6x+9y=703219

x+y=92200 .......(I)

6x+9y=703219 .......(ii)

Multipaction by (i) in 6 and by (ii) in 1

(x+y=92200)6

(6x+9y=703219)1

subtract (I) and (ii)

6x+6y=553200

6x+9y=703219

- - -

-3y= -150019

y=150019/3

by put y in (I)

x+y=92200

x+150019/3=92200

3x+150019/3=92200

3x+150019=276600

3x=276600- 150019

3x=126581

x=126581/3

So, x=126581/3 , y=150019/3