Whakaoti i te 65/100*x=85/100(2480-x)

$$\frac { 65 } { 100 } \times x = \frac { 85 } { 100 } ( 2480 - x )$$

Whakaoti mō x

$$x = \frac{4216}{3} = 1405\frac{1}{3} \approx 1405.333333333$$

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.

$$\frac{13}{20}x=\frac{85}{100}\left(2480-x\right)$$

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

$$\frac{13}{20}x=\frac{17}{20}\left(2480-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{17}{20} ki te 2480-x.

$$\frac{13}{20}x=\frac{17}{20}\times 2480+\frac{17}{20}\left(-1\right)x$$

Tuhia te \frac{17}{20}\times 2480 hei hautanga kotahi.

$$\frac{13}{20}x=\frac{17\times 2480}{20}+\frac{17}{20}\left(-1\right)x$$

Whakareatia te 17 ki te 2480, ka 42160.

$$\frac{13}{20}x=\frac{42160}{20}+\frac{17}{20}\left(-1\right)x$$

Whakawehea te 42160 ki te 20, kia riro ko 2108.

$$\frac{13}{20}x=2108+\frac{17}{20}\left(-1\right)x$$

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

$$\frac{13}{20}x=2108-\frac{17}{20}x$$

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

$$\frac{13}{20}x+\frac{17}{20}x=2108$$

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

$$\frac{3}{2}x=2108$$

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

$$x=2108\times \frac{2}{3}$$

Tuhia te 2108\times \frac{2}{3} hei hautanga kotahi.

$$x=\frac{2108\times 2}{3}$$

Whakareatia te 2108 ki te 2, ka 4216.

$$x=\frac{4216}{3}$$