the ratio of doors to windows is 2:4. There are 48 doors and windows in a building. how many doors are there? How many windows are there?​

RATIO

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Solve:

Identify the x that is multiplied to each number in the fraction will have a total of 48.

[tex] \implies \sf \large2 \: : \: 4[/tex]

[tex] \implies \sf \large2x + 4x = 48[/tex]

[tex] \implies \sf \large6x = 48[/tex]

[tex] \implies \sf \large \frac{ \cancel6x}{ \cancel6} = \frac{48}{6} \\ [/tex]

[tex] \implies \sf \large \therefore \: x = 8[/tex]

[tex] \: [/tex]

Use 8 as the value of x to check and find how many doors and windows are there.

[tex]\implies \sf \large2(8) + 4(8) = 48[/tex]

[tex]\implies \sf \large16 + 32 = 48[/tex]

[tex]\implies \sf \large48= 48 \rightarrow \tt \green{true}[/tex]

[tex] \: [/tex]

Final Answer:

[tex] \sf \large \implies \huge \orange{16 \: doors}[/tex]

[tex]\sf \large \implies \huge \orange{32 \: windows}[/tex]

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Problem:

the ratio of doors to windows is 2:4. There are 48 doors and windows in a building. how many doors are there? How many windows are there?

Solution:

[tex] \green{ \frac{48}{2 + 4} }[/tex]

[tex] = \frac{48}{6} [/tex]

[tex] = 8[/tex]

[tex]8 \times 2 = \boxed{16}[/tex]

[tex]8 \times 4 = \boxed{32}[/tex]

[tex]16 + 32 = \underline{48}[/tex]

Final Answer:

16 doors and 32 windows

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