Whakaoti i te 65/100x=85/100left(2490-xright)

$$\frac{ 65 }{ 100 } x = \frac{ 85 }{ 100 } \left( 2490-x \right)$$

Whakaoti mō x

$$x=1411$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{65}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{13}{20}x=\frac{85}{100}\left(2490-x\right)$$

Whakahekea te hautanga \frac{85}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{13}{20}x=\frac{17}{20}\left(2490-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{17}{20} ki te 2490-x.

$$\frac{13}{20}x=\frac{17}{20}\times 2490+\frac{17}{20}\left(-1\right)x$$

Tuhia te \frac{17}{20}\times 2490 hei hautanga kotahi.

$$\frac{13}{20}x=\frac{17\times 2490}{20}+\frac{17}{20}\left(-1\right)x$$

Whakareatia te 17 ki te 2490, ka 42330.

$$\frac{13}{20}x=\frac{42330}{20}+\frac{17}{20}\left(-1\right)x$$

Whakahekea te hautanga \frac{42330}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{13}{20}x=\frac{4233}{2}+\frac{17}{20}\left(-1\right)x$$

Whakareatia te \frac{17}{20} ki te -1, ka -\frac{17}{20}.

$$\frac{13}{20}x=\frac{4233}{2}-\frac{17}{20}x$$

Me tāpiri te \frac{17}{20}x ki ngā taha e rua.

$$\frac{13}{20}x+\frac{17}{20}x=\frac{4233}{2}$$

Pahekotia te \frac{13}{20}x me \frac{17}{20}x, ka \frac{3}{2}x.

$$\frac{3}{2}x=\frac{4233}{2}$$

Me whakarea ngā taha e rua ki te \frac{2}{3}, te tau utu o \frac{3}{2}.

$$x=\frac{4233}{2}\times \frac{2}{3}$$

Me whakarea te \frac{4233}{2} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{4233\times 2}{2\times 3}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$x=\frac{4233}{3}$$

Whakawehea te 4233 ki te 3, kia riro ko 1411.

$$x=1411$$