Whakaoti i te x+(x+30/100x)+(1/3x)+(x-35.75/100x)=250000

$$x + ( x + \frac { 30 } { 100 } x ) + ( \frac { 1 } { 3 } x ) + ( x - \frac { 35.75 } { 100 } x ) = 250000$$

Whakaoti mō x

$$x = \frac{300000000}{3931} = 76316\frac{1804}{3931} \approx 76316.458916306$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me x, ka 2x.

$$2x+\frac{30}{100}x+\frac{1}{3}x+x-\frac{35.75}{100}x=250000$$

Whakahekea te hautanga \frac{30}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$2x+\frac{3}{10}x+\frac{1}{3}x+x-\frac{35.75}{100}x=250000$$

Pahekotia te 2x me \frac{3}{10}x, ka \frac{23}{10}x.

$$\frac{23}{10}x+\frac{1}{3}x+x-\frac{35.75}{100}x=250000$$

Pahekotia te \frac{23}{10}x me \frac{1}{3}x, ka \frac{79}{30}x.

$$\frac{79}{30}x+x-\frac{35.75}{100}x=250000$$

Whakarohaina te \frac{35.75}{100} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{79}{30}x+x-\frac{3575}{10000}x=250000$$

Whakahekea te hautanga \frac{3575}{10000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{79}{30}x+x-\frac{143}{400}x=250000$$

Pahekotia te x me -\frac{143}{400}x, ka \frac{257}{400}x.

$$\frac{79}{30}x+\frac{257}{400}x=250000$$

Pahekotia te \frac{79}{30}x me \frac{257}{400}x, ka \frac{3931}{1200}x.

$$\frac{3931}{1200}x=250000$$

Me whakarea ngā taha e rua ki te \frac{1200}{3931}, te tau utu o \frac{3931}{1200}.

$$x=250000\times \frac{1200}{3931}$$

Tuhia te 250000\times \frac{1200}{3931} hei hautanga kotahi.

$$x=\frac{250000\times 1200}{3931}$$

Whakareatia te 250000 ki te 1200, ka 300000000.

$$x=\frac{300000000}{3931}$$