Solve 100+5left(6*0.2+16*0.3+26*0.2+36*0.15+46*0.05right)

$$100+5 \left( 6 \cdot 0.2+16 \cdot 0.3+26 \cdot 0.2+36 \cdot 0.15+46 \cdot 0.05 \right)$$

Evaluate

$$194.5$$

Solution Steps

Multiply 6 and 0.2 to get 1.2.

$$100+5\left(1.2+16\times 0.3+26\times 0.2+36\times 0.15+46\times 0.05\right)$$

Multiply 16 and 0.3 to get 4.8.

$$100+5\left(1.2+4.8+26\times 0.2+36\times 0.15+46\times 0.05\right)$$

Add 1.2 and 4.8 to get 6.

$$100+5\left(6+26\times 0.2+36\times 0.15+46\times 0.05\right)$$

Multiply 26 and 0.2 to get 5.2.

$$100+5\left(6+5.2+36\times 0.15+46\times 0.05\right)$$

Add 6 and 5.2 to get 11.2.

$$100+5\left(11.2+36\times 0.15+46\times 0.05\right)$$

Multiply 36 and 0.15 to get 5.4.

$$100+5\left(11.2+5.4+46\times 0.05\right)$$

Add 11.2 and 5.4 to get 16.6.

$$100+5\left(16.6+46\times 0.05\right)$$

Multiply 46 and 0.05 to get 2.3.

$$100+5\left(16.6+2.3\right)$$

Add 16.6 and 2.3 to get 18.9.

$$100+5\times 18.9$$

Multiply 5 and 18.9 to get 94.5.

$$100+94.5$$

Add 100 and 94.5 to get 194.5.

$$194.5$$

Factor

$$\frac{389}{2} = 194\frac{1}{2} = 194.5$$