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?
+37146 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 = \( {x\over 2}{}{}+8\)
Remaining = \(x - \)\(( {x \over 2} + 8) = {x \over 2} -8\)
Jennifer's share = \( ({x \over 4} - 4) + 8 = {x \over 4} + 4\)
Remaining = \(( {x \over 2} + 8) - ({x \over 4} + 4) = {x \over 4} - 12\)
Laura's share = \(({x \over 8} - 6) +\)Remaining
Remaining = \( ({120 \over 8}- 6) + 9 = 18\)
x% of 120 = 18 ⇒ \(x = 15\)
Laura's share = 15%
