+0

# Help ASAP

0
176
2

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?

Sep 17, 2021

#1
+1

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

Sep 18, 2021
#2
0

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%

Sep 19, 2021
edited by apsiganocj  Sep 19, 2021