Solve 899*0.05(T_{1}-25)=4186*0.15(25-21)

$$899 * 0.05 ( T _ { 1 } - 25 ) = 4186 * 0.15 ( 25 - 21 )$$

Solve for T_1

$$T_{1} = \frac{72707}{899} = 80\frac{787}{899} \approx 80.87541713$$

Steps for Solving Linear Equation

Multiply 899 and 0.05 to get 44.95.

$$44.95\left(T_{1}-25\right)=4186\times 0.15\left(25-21\right)$$

Use the distributive property to multiply 44.95 by T_{1}-25.

$$44.95T_{1}-1123.75=4186\times 0.15\left(25-21\right)$$

Multiply 4186 and 0.15 to get 627.9.

$$44.95T_{1}-1123.75=627.9\left(25-21\right)$$

Subtract 21 from 25 to get 4.

$$44.95T_{1}-1123.75=627.9\times 4$$

Multiply 627.9 and 4 to get 2511.6.

$$44.95T_{1}-1123.75=2511.6$$

Add 1123.75 to both sides.

$$44.95T_{1}=2511.6+1123.75$$

Add 2511.6 and 1123.75 to get 3635.35.

$$44.95T_{1}=3635.35$$

Divide both sides by 44.95.

$$T_{1}=\frac{3635.35}{44.95}$$

Expand \frac{3635.35}{44.95} by multiplying both numerator and the denominator by 100.

$$T_{1}=\frac{363535}{4495}$$

Reduce the fraction \frac{363535}{4495} to lowest terms by extracting and canceling out 5.

$$T_{1}=\frac{72707}{899}$$