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there are 28 tables for customers at mesa grill resturant. the tablesnare either two-seat tables or four-seat tables. when all tables are full, there will be 90 customers in the restaurant. how many two-seat tables are at the restaurant

Respuesta :

Explanation :-

Let's assume –

  • Number of two-seat tables be "x"

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow 4 \times (28−x)+2 \times x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 112−4x+2x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 112−2x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow −2x=90−112}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow −2x=−22}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2 x=22}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x= \cancel{\dfrac{22}{2}}}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 11}}}}}}[/tex]

Therefore –

  • Number of two-seat tables are 11.

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