Whakaoti i te 16/5a+37/10(25-a)leq50

$$\frac { 16 } { 5 } a + \frac { 37 } { 10 } ( 25 - a ) \leq 50$$

Whakaoti mō a

$$a\geq 85$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{37}{10} ki te 25-a.

$$\frac{16}{5}a+\frac{37}{10}\times 25+\frac{37}{10}\left(-1\right)a\leq 50$$

Tuhia te \frac{37}{10}\times 25 hei hautanga kotahi.

$$\frac{16}{5}a+\frac{37\times 25}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

Whakareatia te 37 ki te 25, ka 925.

$$\frac{16}{5}a+\frac{925}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

Whakahekea te hautanga \frac{925}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{16}{5}a+\frac{185}{2}+\frac{37}{10}\left(-1\right)a\leq 50$$

Whakareatia te \frac{37}{10} ki te -1, ka -\frac{37}{10}.

$$\frac{16}{5}a+\frac{185}{2}-\frac{37}{10}a\leq 50$$

Pahekotia te \frac{16}{5}a me -\frac{37}{10}a, ka -\frac{1}{2}a.

$$-\frac{1}{2}a+\frac{185}{2}\leq 50$$

Tangohia te \frac{185}{2} mai i ngā taha e rua.

$$-\frac{1}{2}a\leq 50-\frac{185}{2}$$

Me tahuri te 50 ki te hautau \frac{100}{2}.

$$-\frac{1}{2}a\leq \frac{100}{2}-\frac{185}{2}$$

Tā te mea he rite te tauraro o \frac{100}{2} me \frac{185}{2}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{1}{2}a\leq \frac{100-185}{2}$$

Tangohia te 185 i te 100, ka -85.

$$-\frac{1}{2}a\leq -\frac{85}{2}$$

Me whakarea ngā taha e rua ki te -2, te tau utu o -\frac{1}{2}. I te mea he tōraro a -\frac{1}{2}, ka huri te ahunga koreōrite.

$$a\geq -\frac{85}{2}\left(-2\right)$$

Tuhia te -\frac{85}{2}\left(-2\right) hei hautanga kotahi.

$$a\geq \frac{-85\left(-2\right)}{2}$$

Whakareatia te -85 ki te -2, ka 170.

$$a\geq \frac{170}{2}$$

Whakawehea te 170 ki te 2, kia riro ko 85.

$$a\geq 85$$