Jada, Lin, and Elena are saving money for a trip. Together they saved $120. Jada saved $20 less than Lin. Lin saved 3 times as much money as Elena. How much money did Jada, Lin, and Elena each save?

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

step-by-step explanation: