<PRE><B>Question 1205950</B>
Henry had a pole measuring 7 m. He painted it red, yellow and black. He painted 1 3/4 of the pole red. The length of the black part was 3/4 of the length of the yellow part. What was the length of the pole that was poured black?

Henry had a pole measuring 7 m

 He painted 1 3/4 of the pole red. 

7/4  red

Let yellow part be x m

The length of the black part was 3/4 of the length of the yellow part.
(3/4)x = 3x/4

7/4 +x+3x/4 = 7

7/4 +(x+3x/4) = 7

(x+3x/4) = 7 -7/4

(4x+3x)/4 =( 28-7)/4

cancel off 4

7x =21

x =3m   yellow part

Black part = 3x/4 = 3*3/4 =9/4 

2 1/4 m  black part




7/4+3+9/4 =7










 


</PRE>