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Sergeu [11.5K]
3 years ago
10

I don’t know which one to pick

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

\sf{\bold{\green{\underline{\underline{Given}}}}}

⠀⠀⠀⠀

  • w = 7a + 4b

<u>______________________</u>

\sf{\bold{\green{\underline{\underline{To\:Find}}}}}

⠀⠀⠀⠀

  • Correct option = ??

<u>______________________</u>

\sf{\bold{\green{\underline{\underline{Solution}}}}}

⠀⠀⠀⠀

W = 7a + 4b

⠀⠀⠀⠀

  • Using equations formulae

⠀⠀⠀⠀

\sf \implies W - 4b = 7a

⠀⠀⠀⠀

\sf \implies \dfrac{W - 4b}{7} =  a

⠀⠀⠀⠀

  • checking correct option

⠀⠀⠀⠀

<u>Option 1 :</u>

⠀⠀⠀⠀

\sf \bigg( a = \dfrac{W - 4b}{7}  \bigg) \neq \bigg( a = \dfrac{W - 7b}{4}\bigg)

⠀⠀⠀⠀

This option is not correct

⠀⠀⠀⠀

<u>Option 2 : </u>

⠀⠀⠀⠀

\sf \bigg( a = \dfrac{W - 4b}{7}  \bigg) \neq \bigg( a = \dfrac{W}{7} - 4b \bigg)

⠀⠀⠀⠀

This option is not correct

⠀⠀⠀⠀

<u>Option 3 :</u>

⠀⠀⠀⠀

\sf \bigg( a = \dfrac{W - 4b}{7}  \bigg) = \bigg( a = \dfrac{W - 4b}{7}\bigg)

⠀⠀⠀⠀

This option is correct

⠀⠀⠀⠀

<u>Option 4 :</u>

⠀⠀⠀⠀

\sf \bigg( a = \dfrac{W - 4b}{7}  \bigg) \neq \bigg( W = \dfrac{W}{7} - 28b \bigg)

⠀⠀⠀⠀

This option is not correct

<u>______________________</u>

\sf{\bold{\green{\underline{\underline{Answer}}}}}

⠀⠀⠀⠀

  • Correct answer = option C
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