Solve (500*16+450*4)-a(500*16+450*4)=1960

$$( 500 \times 16 + 450 \times 4 ) - a ( 500 \times 16 + 450 \times 4 ) = 1960$$

Solve for a

$$a=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

Multiply 500 and 16 to get 8000. Multiply 450 and 4 to get 1800.

$$8000+1800-a\left(500\times 16+450\times 4\right)=1960$$

Add 8000 and 1800 to get 9800.

$$9800-a\left(500\times 16+450\times 4\right)=1960$$

Multiply 500 and 16 to get 8000. Multiply 450 and 4 to get 1800.

$$9800-a\left(8000+1800\right)=1960$$

Add 8000 and 1800 to get 9800.

$$9800-a\times 9800=1960$$

Multiply -1 and 9800 to get -9800.

$$9800-9800a=1960$$

Subtract 9800 from both sides.

$$-9800a=1960-9800$$

Subtract 9800 from 1960 to get -7840.

$$-9800a=-7840$$

Divide both sides by -9800.

$$a=\frac{-7840}{-9800}$$

Reduce the fraction \frac{-7840}{-9800} to lowest terms by extracting and canceling out -1960.

$$a=\frac{4}{5}$$