Question

6.
0.5x +
= 0.25 x + 7 then x equal to
3
a) 10
b) 11
c) 12
d) 13

try step by step!​

Answer 1

Answer:

Option -C

Step-by-step explanation:

Correct Question:-

0.5 X +(X/3) = 0.25 X + 7

To find:-

Find the value of X?

Solution:-

Given equation is 0.5 X +(X/3) = 0.25 X + 7

=> 0.5 X + (X/3) - 0.25 X = 7

=> [(3×0.5 X )+(X) -(0.25 X × 3)] /3 = 7

=> ( 1.5 X + X -0.75 X )/3 = 7

=> (2.5 X - 0.75 X )/3 = 7

=> (1.75 X) /3 = 7

=> 1.75 X = 7×3

=> 1.75 X = 21

=> (175/100) X = 21

=> 175 X/100 = 21

=> 175X = 21×100

=>175 X = 2100

=> X = 2100/175

=> X = 12

Therefore, the value of X = 12

Answer:-

The value of X for the given problem is 12

Check:-

If X = 12 then

LHS = 0.5(12)+(12/3)

=> LHS = 6+4

=> LHS = 10

and

RHS = 0.25(12)+7

=>RHS = 3+7

=> RHS = 10

LHS = RHS is true for X = 12