Question

Explain why the equation 82.5 + 8(0.25x)= 338.5 is equivalent to the equation 82.5 + 2x = 338.5

Answer 1

Explanation:

`\displaystyle\\8(0.25x)=8((25)/(10)x)=(8*25)/(100) x=(200)/(100)x=2x`

Thus, 82.5+8(0.25x)=338.5 ≡ 82.5+2x=338.5

Answer 2

Explanation:

because 0.25 = 1/4.

so, it is actually

82.5 + 8×(1/4)x = 338.5

which is then simplified

82.5 + (8/4)x = 338.5

82.5 + 2x = 338.5