Solve 15*54.5+20*65.5+40*75.5+15*85.5+10*95.5/100

$$\frac{ 15 \times 54.5+20 \times 65.5+40 \times 75.5+15 \times 85.5+10 \times 95.5 }{ 100 }$$

Evaluate

$$73.85$$

Solution Steps

Multiply 15 and 54.5 to get 817.5.

$$\frac{817.5+20\times 65.5+40\times 75.5+15\times 85.5+10\times 95.5}{100}$$

Multiply 20 and 65.5 to get 1310.

$$\frac{817.5+1310+40\times 75.5+15\times 85.5+10\times 95.5}{100}$$

Add 817.5 and 1310 to get 2127.5.

$$\frac{2127.5+40\times 75.5+15\times 85.5+10\times 95.5}{100}$$

Multiply 40 and 75.5 to get 3020.

$$\frac{2127.5+3020+15\times 85.5+10\times 95.5}{100}$$

Add 2127.5 and 3020 to get 5147.5.

$$\frac{5147.5+15\times 85.5+10\times 95.5}{100}$$

Multiply 15 and 85.5 to get 1282.5.

$$\frac{5147.5+1282.5+10\times 95.5}{100}$$

Add 5147.5 and 1282.5 to get 6430.

$$\frac{6430+10\times 95.5}{100}$$

Multiply 10 and 95.5 to get 955.

$$\frac{6430+955}{100}$$

Add 6430 and 955 to get 7385.

$$\frac{7385}{100}$$

Reduce the fraction \frac{7385}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1477}{20}$$

Factor

$$\frac{7 \cdot 211}{5 \cdot 2 ^ {2}} = 73\frac{17}{20} = 73.85$$