Question
$0.6\text{x}+\frac45=0.28\text{x}+1.16$
✓
Answer
$0.6\text{x} + \frac45 = 0.28\text{x} + 1.16$
Transposing 0.28x to L.H.S. and 45 to R.H.S., we get
= 0.6x - 0.28x = 1.16 - 45
= 0.32x = 1.16 - 0.8
= 0.32x = 0.36
Dividing both sides by 0.32, we get
= 0.32 × 0.32 = 0.360.32
= x = 98
Verification:
Substituting x = 98 on both sides, we get
$0.6\Big(\frac98\Big) + 45 = 0.28\Big(\frac98\Big) + 1.16$
$\frac{5.4}{8} + \frac45 = \frac{2.52}8 + 1.16$
$0.675 + 0.8 = 0.315 + 1.16$
$1.475 = 1.475$
L.H.S. = R.H.S.
Hence, verified.
Transposing 0.28x to L.H.S. and 45 to R.H.S., we get
= 0.6x - 0.28x = 1.16 - 45
= 0.32x = 1.16 - 0.8
= 0.32x = 0.36
Dividing both sides by 0.32, we get
= 0.32 × 0.32 = 0.360.32
= x = 98
Verification:
Substituting x = 98 on both sides, we get
$0.6\Big(\frac98\Big) + 45 = 0.28\Big(\frac98\Big) + 1.16$
$\frac{5.4}{8} + \frac45 = \frac{2.52}8 + 1.16$
$0.675 + 0.8 = 0.315 + 1.16$
$1.475 = 1.475$
L.H.S. = R.H.S.
Hence, verified.
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