A box of drinking straws is shared among Allison, Jennifer and Laura. Alisson's share is half the box of straws plus 8 straws. Jennifer's share is half the remaining number of straws plus 8 straws. Laura's share is half of the remainder plus the last 9 straws. What percentage of the drinking straws is Laura's share?
+37167 x = total straws
Al = 1/2 x + 8 leaving 1/2 x - 8
Je = 1/2 ( 1/2x-8) + 8 = 1/4x +4 leaving 1/4 x - 12
La = 1/2 ( 1/4x -12 ) + 9 summed = x
1/2 x + 8 + 1/4x + 4 + 1/8 x +3 = x
7/8x + 15 = x
x = 120
Al = 68 leaving 52
Je = 34 leaving 18
La = 18 18 out of 120 = 15 % of the total
+313 Let total straw be x
Alisson's share = x2+8
Remaining = x−(x2+8)=x2−8
Jennifer's share = (x4−4)+8=x4+4
Remaining = (x2+8)−(x4+4)=x4−12
Laura's share = (x8−6)+Remaining
Remaining = (1208−6)+9=18
x% of 120 = 18 ⇒ x=15
Laura's share = 15%
