machine p and machine q are each used to manufacture 770 sprockets. it takes machine p 10 hours longer to produce 770 sprockets than machine q. machine q produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machine a produce?	Pick one.
A) 3  B) 5  C) 7  D) 9  E) 11
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">(1/10) + 1</gadget>
<output>11/10 = around 1.1</output>

<gadget id="calculator">770 / (11/10)</gadget>
<output>700</output>

<gadget id="calculator">770 - 700</gadget>
<output>70</output>

<gadget id="calculator">70 / 10</gadget>
<output>7</output>

<result>C</result>
machine p and machine q are each used to manufacture 770 sprockets. it takes machine p 10 hours longer to produce 770 sprockets than machine q. machine q produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machine a produce?
divide(subtract(770, divide(770, add(divide(10, const_100), const_1))), 10)
"p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 770 / x = 770 / 1.1 x + 10 1.1 ( 770 ) = 770 + 11 x 11 x = 77 x = 7 the answer is c ."