Answer:
Jada saved $40, Lin saved $60 and Elena saves $20
Step-by-step explanation:
Let the amount saved by Jada be x
Let the amount saved by Lin be y
Let the amount saved by Elena be z
If together they saved $120, then x+y+z = $120 ......... 1
If Jada saved $20 less than Lin, then x = y- 20 .....2
If Lin saved 3 times as much money as Elena, then y = 3z ...... 3
From equation 3, z = y/3 ....... 4
substitute equation 2 and 4 into 1;
x+y+z = $120
(y- 20)+ y + y/3 = 120
2y + y/3 - 20 = 120
2y + y/3 = 120+20
2y + y/3 = 140
multiply through by 3
6y + y = 420
7y = 420
divided through by 7
7y/7 = 420/7
y = 60
Since y = 3z
60 = 3z
z = 60/3
z = 20
From equation 2, x = y- 20
x = 60-20
x = 40
Hence Jada saved $40, Lin saved $60 and Elena saves $20
