Whakaoti i te x-(25%)-(4%)(x)-(10%x)=45

$$x - ( 25 \% ) - ( 4 \% ) ( x ) - ( 10 \% x ) = 45$$

Whakaoti mō x

$$x = \frac{4525}{86} = 52\frac{53}{86} \approx 52.61627907$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{25}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$x-\frac{1}{4}-\frac{4}{100}x-\frac{10}{100}x=45$$

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

$$x-\frac{1}{4}-\frac{1}{25}x-\frac{10}{100}x=45$$

Pahekotia te x me -\frac{1}{25}x, ka \frac{24}{25}x.

$$\frac{24}{25}x-\frac{1}{4}-\frac{10}{100}x=45$$

Whakahekea te hautanga \frac{10}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{24}{25}x-\frac{1}{4}-\frac{1}{10}x=45$$

Pahekotia te \frac{24}{25}x me -\frac{1}{10}x, ka \frac{43}{50}x.

$$\frac{43}{50}x-\frac{1}{4}=45$$

Me tāpiri te \frac{1}{4} ki ngā taha e rua.

$$\frac{43}{50}x=45+\frac{1}{4}$$

Me tahuri te 45 ki te hautau \frac{180}{4}.

$$\frac{43}{50}x=\frac{180}{4}+\frac{1}{4}$$

Tā te mea he rite te tauraro o \frac{180}{4} me \frac{1}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{43}{50}x=\frac{180+1}{4}$$

Tāpirihia te 180 ki te 1, ka 181.

$$\frac{43}{50}x=\frac{181}{4}$$

Me whakarea ngā taha e rua ki te \frac{50}{43}, te tau utu o \frac{43}{50}.

$$x=\frac{181}{4}\times \frac{50}{43}$$

Me whakarea te \frac{181}{4} ki te \frac{50}{43} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{181\times 50}{4\times 43}$$

Mahia ngā whakarea i roto i te hautanga \frac{181\times 50}{4\times 43}.

$$x=\frac{9050}{172}$$

Whakahekea te hautanga \frac{9050}{172} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{4525}{86}$$