Question 1199460
<pre>
Medina's Furniture company has been producing 2795 chairs a day working two shifts. The second shift has produced 91 chairs fewer than seven-sixths of the number of chairs produced by the first shift. Determine the number of chairs produced by the second shift.
<pre>Let number produced by 2nd shift be S
Since both shifts produced 2,795 chairs, the 1st shift produced 2,795 - S
Itw's given that the 2nd shift produced 91 fewer than {{{(7/6)^(th)}}} of the number the first shift produced.
                  This gives us: {{{matrix(1,3, S, "=", (7/6)("2,795" - S) - 91)}}} ----- Substituting 2,795 - S for humber 1st shift produced
                                 6S = 7(2,795) - 7S - 546 ---- Multiplying by LCD, 6
                            6S + 7S = 7(2,795) - 546
                                13S = 7(2,795) - 546
Number produced by 2nd shift, or {{{highlight_green(matrix(1,10, S, "=", (7("2,795") - 546)/13, "=", ("19,565" - 546)/13, "=", "19,019"/13, "=", highlight("1,463"), chairs))}}}</pre>