Whakaoti i te 19+x/65+x*100=36

$$\frac { 19 + x } { 65 + x } \times 100 = 36$$

Whakaoti mō x

$$x = \frac{55}{8} = 6\frac{7}{8} = 6.875$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 100.

$$\frac{19+x}{65+x}=\frac{36}{100}$$

Whakahekea te hautanga \frac{36}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{19+x}{65+x}=\frac{9}{25}$$

Tē taea kia ōrite te tāupe x ki -65 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 25\left(x+65\right), arā, te tauraro pātahi he tino iti rawa te kitea o 65+x,25.

$$25\left(19+x\right)=9\left(x+65\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 25 ki te 19+x.

$$475+25x=9\left(x+65\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te x+65.

$$475+25x=9x+585$$

Tangohia te 9x mai i ngā taha e rua.

$$475+25x-9x=585$$

Pahekotia te 25x me -9x, ka 16x.

$$475+16x=585$$

Tangohia te 475 mai i ngā taha e rua.

$$16x=585-475$$

Tangohia te 475 i te 585, ka 110.

$$16x=110$$

Whakawehea ngā taha e rua ki te 16.

$$x=\frac{110}{16}$$

Whakahekea te hautanga \frac{110}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{55}{8}$$