Whakaoti i te 45*15%+45*003%50%x=x-40

$$45 \times 15 \% +45 \times 003 \% 50 \% x=x-40$$

Whakaoti mō x

$$x = \frac{187}{4} = 46\frac{3}{4} = 46.75$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{15}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$45\times \frac{3}{20}+45\times 0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Tuhia te 45\times \frac{3}{20} hei hautanga kotahi.

$$\frac{45\times 3}{20}+45\times 0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Whakareatia te 45 ki te 3, ka 135.

$$\frac{135}{20}+45\times 0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Whakahekea te hautanga \frac{135}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{27}{4}+45\times 0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Whakareatia te 45 ki te 0, ka 0.

$$\frac{27}{4}+0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Whakareatia te 0 ki te 0, ka 0.

$$\frac{27}{4}+0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Whakareatia te 0 ki te \frac{3}{100}, ka 0.

$$\frac{27}{4}+0\times \frac{50}{100}x=x-40$$

Whakahekea te hautanga \frac{50}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 50.

$$\frac{27}{4}+0\times \frac{1}{2}x=x-40$$

Whakareatia te 0 ki te \frac{1}{2}, ka 0.

$$\frac{27}{4}+0x=x-40$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$\frac{27}{4}+0=x-40$$

Tāpirihia te \frac{27}{4} ki te 0, ka \frac{27}{4}.

$$\frac{27}{4}=x-40$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x-40=\frac{27}{4}$$

Me tāpiri te 40 ki ngā taha e rua.

$$x=\frac{27}{4}+40$$

Me tahuri te 40 ki te hautau \frac{160}{4}.

$$x=\frac{27}{4}+\frac{160}{4}$$

Tā te mea he rite te tauraro o \frac{27}{4} me \frac{160}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x=\frac{27+160}{4}$$

Tāpirihia te 27 ki te 160, ka 187.

$$x=\frac{187}{4}$$