Solve (100-T)*22.05=(T-10)*33.6+(1-10)*1200*0.

$$( 100 - T ) \times 22.05 = ( T - 10 ) \times 33.6 + ( 1 - 10 ) \times 1200 \times 0 .$$

Solve for T

$$T = \frac{2420}{53} = 45\frac{35}{53} \approx 45.660377358$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100-T by 22.05.

$$2205-22.05T=\left(T-10\right)\times 33.6+\left(1-10\right)\times 1200\times 0$$

Use the distributive property to multiply T-10 by 33.6.

$$2205-22.05T=33.6T-336+\left(1-10\right)\times 1200\times 0$$

Subtract 10 from 1 to get -9.

$$2205-22.05T=33.6T-336-9\times 1200\times 0$$

Multiply -9 and 1200 to get -10800.

$$2205-22.05T=33.6T-336-10800\times 0$$

Multiply -10800 and 0 to get 0.

$$2205-22.05T=33.6T-336+0$$

Add -336 and 0 to get -336.

$$2205-22.05T=33.6T-336$$

Subtract 33.6T from both sides.

$$2205-22.05T-33.6T=-336$$

Combine -22.05T and -33.6T to get -55.65T.

$$2205-55.65T=-336$$

Subtract 2205 from both sides.

$$-55.65T=-336-2205$$

Subtract 2205 from -336 to get -2541.

$$-55.65T=-2541$$

Divide both sides by -55.65.

$$T=\frac{-2541}{-55.65}$$

Expand \frac{-2541}{-55.65} by multiplying both numerator and the denominator by 100.

$$T=\frac{-254100}{-5565}$$

Reduce the fraction \frac{-254100}{-5565} to lowest terms by extracting and canceling out -105.

$$T=\frac{2420}{53}$$