.75(r/2)=(100-r/4)(1.25)

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Solution for .75(r/2)=(100-r/4)(1.25) equation: 



.75(r/2)=(100-r/4)(1.25)

We move all terms to the left:

.75(r/2)-((100-r/4)(1.25))=0

We add all the numbers together, and all the variables

.75(+r/2)-((-r/4+100)(1.25))=0

We multiply parentheses

0.75r-((-r/4+100)(1.25))=0

We multiply parentheses ..

0.75r-((-1.25r+125))=0



We calculate terms in parentheses: -((-1.25r+125)), so:

(-1.25r+125)

We get rid of parentheses

-1.25r+125

Back to the equation:

-(-1.25r+125)



We get rid of parentheses

0.75r+1.25r-125=0

We add all the numbers together, and all the variables

2r-125=0

We move all terms containing r to the left, all other terms to the right

2r=125

r=125/2

r=62+1/2

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