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 4.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y? Select
A) (320 - y)/(5x)	B) (y +210)/(5x)	C) 5(80 - y)/(4x)	D) (y + 400)/(4x)	E) (4y + 320)/(5x)
Ans (y +210)/(5x)   Plug some numbers   Let y = 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 4.25 x =&gt; 4.25 * 20= 
<gadget id="calculator">4.25 * 20</gadget>
<output>85</output>
85 houses per week   total time they took= (40/20) + (40/85) = 2.5 weeks   Putting the values of x and y in equation (y +210)/(5x)   (y +210)/(5x) = (40+210)/5*20 = 250/100= 
<gadget id="calculator">250/100</gadget>
<output>5/2 = around 2.5</output>
2.5
<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 4.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?