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 6.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?	Choices:	A) (320 - y)/(5x)	B) (y +190)/(5x)	C) 5(80 - y)/(4x)	D) (y + 400)/(4x)	E) (4y + 320)/(5x)
Ans (y +190)/(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 6.25 x =&gt; 6.25 * 20= 
<gadget id="calculator">6.25 * 20</gadget>
<output>125</output>
125 houses per week   total time they took= (40/20) + (40/125) = 2.3 weeks   Putting the values of x and y in equation (y +190)/(5x)   (y +190)/(5x) = (40+190)/5*20 = 230/100= 
<gadget id="calculator">230/100</gadget>
<output>23/10 = around 2.3</output>
2.3
<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 6.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?