Stacey worked on her garden for 4 3/4 hours. Josh worked on his garden 2/3 times as long as Stacey. Vicki worked on her garden 1 3/8 times as long as Stacey. Select all statements that are true

A. Stacey worked longer on her garden than Josh worked on his garden.
B.Stacey spent less time working on her garden than Vicki spent on her garden.
C. Josh worked longer than Vicki worked on her garden.
D. Vicki worked longer on her garden than Stacey & Josh combined.

Respuesta :

so basically since josh worked a fraction (that's less than 1) of staceys time then therefor stacy's tme is more than josh
josh<stacy
vicki worked a fraction(that's greater than 1) of stacey's time. since it is greater than 1, it makes it more so like 2 times 2 and 1/2=2+1=3 which is greater so
viki worked more than stacy therefor

josh<stacy<vicki
so
A is correct (Stacey>josh)
B is correct (Stacey<Viki)
C is false
D we have to solve by doing
4 and 3/4 convert to fraction improper
4 and 3/4=19/4
19/4 times 2/3=josh=38/12=19/6
viki worked 1 and 3/8 of stacey
19/4 times 1 and 3/8=19/4+57/32=209/32=7.9
josh+stacey=19/4+19/6=95/12=6.5
7.9>6.5 so
D is true


so the answers that are true are
A,B,D

2a is true and 2b is also true and 2c is false 2d is true