РАm/StudentFunctions/Interface/acellus_engine.html?ClassID=1187412120quations via SubstitutionStore A has sold 67 mugs and sells 11mugs every week. Store B has sold 13mugs and sells 17 mugs every week.How many weeks (w) will it be beforeStore B sells as many mugs (m) asStore A?m = 11W + 67m = 17w + 13=

РАmStudentFunctionsInterfaceacellusenginehtmlClassID1187412120quations via SubstitutionStore A has sold 67 mugs and sells 11mugs every week Store B has sold 13m class=

Respuesta :

We have to find how many weeks will it be before Store B sells as many mugs as Store A.

This happens when both equations have the same value:

[tex]m_a(w)=m_b(w)[/tex]

If we equal both equations, we can find w as:

[tex]\begin{gathered} 11w+67=17w+13 \\ 67-13=17w-11w \\ 54=6w \\ w=\frac{54}{6} \\ w=9 \end{gathered}[/tex]

Answer: 9 weeks (w = 9).

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