Solve MN=(1500*48)+(1500*48*49/2*12*10/100)

$$M N = ( 1500 \times 48 ) + ( 1500 \times \frac { 48 \times 49 } { 2 \times 12 } \times \frac { 10 } { 100 } )$$

Solve for M

$$M=\frac{86700}{N}$$

$$N\neq 0$$

Steps for Solving Linear Equation

Multiply 1500 and 48 to get 72000.

$$MN=72000+1500\times \frac{48\times 49}{2\times 12}\times \frac{10}{100}$$

Cancel out 2\times 12 in both numerator and denominator.

$$MN=72000+1500\times 2\times 49\times \frac{10}{100}$$

Multiply 2 and 49 to get 98.

$$MN=72000+1500\times 98\times \frac{10}{100}$$

Multiply 1500 and 98 to get 147000.

$$MN=72000+147000\times \frac{10}{100}$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$MN=72000+147000\times \frac{1}{10}$$

Multiply 147000 and \frac{1}{10} to get 14700.

$$MN=72000+14700$$

Add 72000 and 14700 to get 86700.

$$MN=86700$$

The equation is in standard form.

$$NM=86700$$

Divide both sides by N.

$$\frac{NM}{N}=\frac{86700}{N}$$

Dividing by N undoes the multiplication by N.

$$M=\frac{86700}{N}$$

Solve for N

$$N=\frac{86700}{M}$$

$$M\neq 0$$

Steps for Solving Linear Equation

Multiply 1500 and 48 to get 72000.

$$MN=72000+1500\times \frac{48\times 49}{2\times 12}\times \frac{10}{100}$$

Cancel out 2\times 12 in both numerator and denominator.

$$MN=72000+1500\times 2\times 49\times \frac{10}{100}$$

Multiply 2 and 49 to get 98.

$$MN=72000+1500\times 98\times \frac{10}{100}$$

Multiply 1500 and 98 to get 147000.

$$MN=72000+147000\times \frac{10}{100}$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$MN=72000+147000\times \frac{1}{10}$$

Multiply 147000 and \frac{1}{10} to get 14700.

$$MN=72000+14700$$

Add 72000 and 14700 to get 86700.

$$MN=86700$$

Divide both sides by M.

$$\frac{MN}{M}=\frac{86700}{M}$$

Dividing by M undoes the multiplication by M.

$$N=\frac{86700}{M}$$