Whakaoti i te 112(1+x%)=12

$$112(1+x \% )=12$$

Whakaoti mō x

$$x = -\frac{625}{7} = -89\frac{2}{7} \approx -89.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 112.

$$1+\frac{x}{100}=\frac{12}{112}$$

Whakahekea te hautanga \frac{12}{112} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$1+\frac{x}{100}=\frac{3}{28}$$

Me whakarea ngā taha e rua o te whārite ki te 700, arā, te tauraro pātahi he tino iti rawa te kitea o 100,28.

$$700+7x=75$$

Tangohia te 700 mai i ngā taha e rua.

$$7x=75-700$$

Tangohia te 700 i te 75, ka -625.

$$7x=-625$$

Whakawehea ngā taha e rua ki te 7.

$$x=\frac{-625}{7}$$

Ka taea te hautanga \frac{-625}{7} te tuhi anō ko -\frac{625}{7} mā te tango i te tohu tōraro.

$$x=-\frac{625}{7}$$