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Answer:
M is equal to 18.
Step-by-step explanation:
To find the value of M, we have to cross-multiply the given set of ratios.
[tex]\Large \bold{\blue{ \sf{24:16=M:12}}} \\ \LARGE \bold{\blue{ \sf{ \frac{24}{16} = \frac{M}{12}}}}\\ \Large \bold{\blue{ \sf{(16)(M)=(24)(12)}}}\\ \Large \bold{\blue{ \sf{16M=288}}}[/tex]
Then, divide both sides by 16.
[tex]\LARGE \bold{\blue{ \sf{ \frac{\cancel{16}M}{ \red{\cancel{16}}} = \frac{288}{ \red{16}}}}}\\ \Large \sf \bold{\blue{M=18}}[/tex]
Therefore, the answer is [tex]\LARGE \green{ \boxed{ \purple{ \sf{18}}}}[/tex].
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