RATIO
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Solve
Find the value of x which multiplies to each number in the fraction which will have a total of 20.
[tex] \implies \sf \large 2 \: : \: 3 \: : \: 5[/tex]
[tex] \implies \sf \large2x + 3x + 5x = 20[/tex]
[tex]\implies \sf \large10x = 20[/tex]
[tex]\implies \sf \large \frac{ \cancel{10}x}{ \cancel{10}} = \frac{20}{10} \\ [/tex]
[tex]\implies \sf \large \therefore \: x = 2[/tex]
[tex] \: [/tex]
Substitute x as 2 which will multiply to each number then check.
[tex] \implies \sf \large2(2) + 3(2) + 5(2) = 20[/tex]
[tex]\implies \sf \large4 + 6 + 10 = 20[/tex]
[tex]\implies \sf \large20= 20 \: \rightarrow \: \tt \green{true}[/tex]
Colon Form then find the greatest.
[tex] \implies \sf \large4 \: : \: 6 \: : \: \underline{ \orange{10}}[/tex]
[tex] \: [/tex]
Final Answer:
[tex] \sf \huge \orange{10 \: meters}[/tex]
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