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 2.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
Choose the correct option:
A) (320 - y)/(5x)
B) (y +250)/(5x)
C) 5(80 - y)/(4x)
D) (y + 400)/(4x)
E) (4y + 250)/(5x)
Ans (y +250)/(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 2.25 x =&gt; 2.25 * 20= 
<gadget id="calculator">2.25 * 20</gadget>
<output>45</output>
45 houses per week   total time they took= (40/20) + (40/45) = 2.9 weeks   Putting the values of x and y in equation (y +250)/(5x)   (y +250)/(5x) = (40+250)/5*20 = 290/100= 
<gadget id="calculator">290/100</gadget>
<output>29/10 = around 2.9</output>
2.9
<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 2.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?