2 years ago

There are 92 beds in a 40-room motel. Each rooms has 2 or 3 beds. How many rooms have 2 beds?

1 answer:

7 0

$x-\ rooms\ with\ 2\ beds\\\\
y-\rooms\ with\ 3\ beds\\\\\\
x+y=40\ \ \ \ --->\ \ \ x=40-y\\
2x+3y=92\\\\
2(40-y)+3y=92\\\\
80-2y+3y=92\\\\
y+80=92\ \ \ | subtract\ 80\\\\
y=12\\\\x=40-12=28\\\\
28\ rooms\ has\ 2\ beds.$

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