machine a and machine b are each used to manufacture 550 sprockets. it takes machine a 10 hours longer to produce 550 sprockets than machine b. machine b produces 10 percent more sprockets per hour than machine a. how many sprockets per hour does machine a produces?  Choose the correct choice from the following:
A) 6	B) 5	C) 7	D) 8	E) 9
<gadget id="calculator">10 * 550</gadget>
<output>5_500</output>

<gadget id="calculator">100 + 10</gadget>
<output>110</output>

<gadget id="calculator">110 / 100</gadget>
<output>11/10 = around 1.1</output>

<gadget id="calculator">5_500 * (11/10)</gadget>
<output>6_050</output>

<gadget id="calculator">550 * (11/10)</gadget>
<output>605</output>

<gadget id="calculator">605 - 550</gadget>
<output>55</output>

<gadget id="calculator">6_050 / 55</gadget>
<output>110</output>

<gadget id="calculator">550 / 110</gadget>
<output>5</output>

<result>B</result>
machine a and machine b are each used to manufacture 550 sprockets. it takes machine a 10 hours longer to produce 550 sprockets than machine b. machine b produces 10 percent more sprockets per hour than machine a. how many sprockets per hour does machine a produces?
divide(550, divide(multiply(multiply(10, 550), divide(add(const_100, 10), const_100)), subtract(multiply(550, divide(add(const_100, 10), const_100)), 550)))
"machine b : takes x hours to produce 550 sprockets machine a : takes ( x + 10 ) hours to produce 550 sprockets machine b : in 1 hour , b makes 550 / x sprockets machine a : in 1 hour , a makes 550 / ( x + 10 ) sprockets equating : 1.1 ( 550 / ( x + 10 ) ) = 550 / x 605 / ( x + 10 ) = 550 / x 605 x = 550 x + 5500 55 x = 5500 x = 100 a makes 550 / ( 110 ) = 5 sprockets per hour answer : b"