Whakaoti i te 1440*(1+x/100)+160*(1-x/250)*25=4960+176x

$$1440 \times (1+ \frac{ x }{ 100 } )+160 \times (1- \frac{ x }{ 250 } ) \times 25=4960+176x$$

Whakaoti mō x

$$x = \frac{100}{37} = 2\frac{26}{37} \approx 2.702702703$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 500, arā, te tauraro pātahi he tino iti rawa te kitea o 100,250.

$$720000\left(1+\frac{x}{100}\right)+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 720000 ki te 1+\frac{x}{100}.

$$720000+720000\times \frac{x}{100}+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

Whakakorea atu te tauwehe pūnoa nui rawa 100 i roto i te 720000 me te 100.

$$720000+7200x+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

Whakareatia te 80000 ki te 25, ka 2000000.

$$720000+7200x+2000000\left(1-\frac{x}{250}\right)=2480000+88000x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2000000 ki te 1-\frac{x}{250}.

$$720000+7200x+2000000+2000000\left(-\frac{x}{250}\right)=2480000+88000x$$

Whakakorea atu te tauwehe pūnoa nui rawa 250 i roto i te 2000000 me te 250.

$$720000+7200x+2000000-8000x=2480000+88000x$$

Tāpirihia te 720000 ki te 2000000, ka 2720000.

$$2720000+7200x-8000x=2480000+88000x$$

Pahekotia te 7200x me -8000x, ka -800x.

$$2720000-800x=2480000+88000x$$

Tangohia te 88000x mai i ngā taha e rua.

$$2720000-800x-88000x=2480000$$

Pahekotia te -800x me -88000x, ka -88800x.

$$2720000-88800x=2480000$$

Tangohia te 2720000 mai i ngā taha e rua.

$$-88800x=2480000-2720000$$

Tangohia te 2720000 i te 2480000, ka -240000.

$$-88800x=-240000$$

Whakawehea ngā taha e rua ki te -88800.

$$x=\frac{-240000}{-88800}$$

Whakahekea te hautanga \frac{-240000}{-88800} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2400.

$$x=\frac{100}{37}$$