Whakaoti i te 16/5a+37/10(20-a)leq50

$$\frac { 16 } { 5 } a + \frac { 37 } { 10 } ( 20 - a ) \leq 50$$

Whakaoti mō a

$$a\geq 48$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{37}{10} ki te 20-a.

$$\frac{16}{5}a+\frac{37}{10}\times 20+\frac{37}{10}\left(-1\right)a\leq 50$$

Tuhia te \frac{37}{10}\times 20 hei hautanga kotahi.

$$\frac{16}{5}a+\frac{37\times 20}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

Whakareatia te 37 ki te 20, ka 740.

$$\frac{16}{5}a+\frac{740}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

Whakawehea te 740 ki te 10, kia riro ko 74.

$$\frac{16}{5}a+74+\frac{37}{10}\left(-1\right)a\leq 50$$

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

$$\frac{16}{5}a+74-\frac{37}{10}a\leq 50$$

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

$$-\frac{1}{2}a+74\leq 50$$

Tangohia te 74 mai i ngā taha e rua.

$$-\frac{1}{2}a\leq 50-74$$

Tangohia te 74 i te 50, ka -24.

$$-\frac{1}{2}a\leq -24$$

Me whakarea ngā taha e rua ki te -2, te tau utu o -\frac{1}{2}. Nō te mea he <0 te -\frac{1}{2}, ka hurihia te ahunga koreōrite.

$$a\geq -24\left(-2\right)$$

Whakareatia te -24 ki te -2, ka 48.

$$a\geq 48$$