Translate the following situation into an inequality. Do not solve.

“Charlie would like to pack one less outfit than Jane for their trip. Loretta would like to bring five outfits less than twice what Jane packs. Due to space in the suitcase, they are limited to a total of 24 outfits. How many outfits can they each pack?”

C+1=J

L+5=2J

C+L+J<=24

J-1+2J-5+J<=24
4J<=30
J<=7
so C is 6
and L is 9

total 22 check that.

X+(X-1)+(2X-5)=24

use X for the amount of outfits Jane has.

you know:
-that Charlie packs 1 less than Jane (x-1)
-that Loretta packs 5 less than twice Jane's (2x-5)
-that you can't have more than 24. so set it equal to 24

and then solve :)

To translate the situation into an inequality, we need to define variables for the number of outfits each person packs. Let's say:

C = number of outfits Charlie packs
J = number of outfits Jane packs
L = number of outfits Loretta packs

According to the given information:
1) Charlie would like to pack one less outfit than Jane for their trip, so we can write: C = J - 1
2) Loretta would like to bring five outfits less than twice what Jane packs, so we can write: L = 2J - 5
3) They are limited to a total of 24 outfits, so the sum of the outfits each person packs should be less than or equal to 24: C + J + L ≤ 24

Therefore, the inequality representing the situation is:
(J - 1) + J + (2J - 5) ≤ 24