Whakaoti i te 1/3*3+x/4*4+x/6*5+(x/4-8)*2=504

$$\frac { 1 } { 3 } \cdot 3 + \frac { x } { 4 } \cdot 4 + \frac { x } { 6 } \cdot 5 + ( \frac { x } { 4 } - 8 ) \cdot 2 = 504$$

Whakaoti mō x

$$x = \frac{1557}{7} = 222\frac{3}{7} \approx 222.428571429$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 3,4,6.

$$4\times 3+3x\times 4+2x\times 5+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Whakareatia te 4 ki te 3, ka 12.

$$12+3x\times 4+2x\times 5+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Whakareatia te 3 ki te 4, ka 12.

$$12+12x+2x\times 5+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Whakareatia te 2 ki te 5, ka 10.

$$12+12x+10x+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Pahekotia te 12x me 10x, ka 22x.

$$12+22x+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Whakareatia te 12 ki te 2, ka 24.

$$12+22x+24\left(\frac{x}{4}-8\right)=6048$$

Whakamahia te āhuatanga tohatoha hei whakarea te 24 ki te \frac{x}{4}-8.

$$12+22x+24\times \frac{x}{4}-192=6048$$

Whakakorea atu te tauwehe pūnoa nui rawa 4 i roto i te 24 me te 4.

$$12+22x+6x-192=6048$$

Pahekotia te 22x me 6x, ka 28x.

$$12+28x-192=6048$$

Tangohia te 192 i te 12, ka -180.

$$-180+28x=6048$$

Me tāpiri te 180 ki ngā taha e rua.

$$28x=6048+180$$

Tāpirihia te 6048 ki te 180, ka 6228.

$$28x=6228$$

Whakawehea ngā taha e rua ki te 28.

$$x=\frac{6228}{28}$$

Whakahekea te hautanga \frac{6228}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=\frac{1557}{7}$$