Whakaoti i te 6+x/100+x=16/100

$$\frac { 6 + x } { 100 + x } = \frac { 16 } { 100 }$$

Whakaoti mō x

$$x = \frac{250}{21} = 11\frac{19}{21} \approx 11.904761905$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -100 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 100\left(x+100\right), arā, te tauraro pātahi he tino iti rawa te kitea o 100+x,100.

$$100\left(6+x\right)=\left(x+100\right)\times 16$$

Whakamahia te āhuatanga tohatoha hei whakarea te 100 ki te 6+x.

$$600+100x=\left(x+100\right)\times 16$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+100 ki te 16.

$$600+100x=16x+1600$$

Tangohia te 16x mai i ngā taha e rua.

$$600+100x-16x=1600$$

Pahekotia te 100x me -16x, ka 84x.

$$600+84x=1600$$

Tangohia te 600 mai i ngā taha e rua.

$$84x=1600-600$$

Tangohia te 600 i te 1600, ka 1000.

$$84x=1000$$

Whakawehea ngā taha e rua ki te 84.

$$x=\frac{1000}{84}$$

Whakahekea te hautanga \frac{1000}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=\frac{250}{21}$$