A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 5.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?  Choose the correct choice from the following answers:
A) (320 - y)/(5x)
B) (y +200)/(5x)
C) 5(80 - y)/(4x)
D) (y + 400)/(4x)
E) (4y + 320)/(5x)
Ans (y +200)/(5x)   Plug some numbers   Let y = 40 houses and x (  +200)/(5 )= 
<gadget id="calculator">(  +200)/(5 )</gadget>
<output>40</output>
40 houses and x= 20   then they painted 20 houses per week   as painters were added to the group , the rate of the group increased to 5.25 x =&gt; 5.25 * 20= 
<gadget id="calculator">5.25 * 20</gadget>
<output>105</output>
105 houses per week   total time they took= (40/20) + (40/1055) = 2.4 weeks   Putting the values of x and y in equation (y +200)/(5x)   (y +200)/(5x) = (40+200)/5*20 = 240/100= 
<gadget id="calculator">240/100</gadget>
<output>12/5 = around 2.4</output>
2.4
<result>B</result>
A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 5.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?