Question

If 6 units = 10 cm then what does 9 units equal

Answer 1

9 units = 15 cm

Explanation:

`\bold{METHOD\ 1:}\\\\6\ units=10\ cm\to1\ unit=(10)/(6)\ cm=(5)/(3)\ cm\\\\9\ units=9*1\unit=9*(5)/(3)\ cm=(9*5)/(3)\ cm=(45)/(3)\ cm=\boxed{15\ cm}\\\\\bold{METHOD\ 2:}\\\\\begin{array}{cccc}6\ units&-&10\ cm&\text{divide both sides by 2}\\\\3\ units&-&5\ cm&\text{multiply both sides by 3}\\\\9\ units&-&\boxed{15\ cm}\end{array}`

`\bold{METHOD\ 3:}\\\\\begin{array}{ccc}6\ units&-&10\ cm\\\\9\ units&-&x\ cm\end{array}\qquad\text{cross multiply}\\\\\\(6)(x)=(9)(10)\\\\6x=90\qquad\text{divide both sides by 6}\\\\(6x)/(6)=(90)/(6)\\\\\boxed{x=15\ (cm)}`

Answer 2

First, divide the total centimeters to units.

10 / 6 = 5/3

Second, multiply by 9 (9/1).

5/3 * 9/1 = 45/3 = 15

Therefore, 9 units is equal to 15cm.

Best of Luck!