Question

Ethan has $120 more than Dilton. After Ethan spent 80% of his money and Dilton spent 60% of his money, they still have $270 left altogether. How much money does Ethan have left in the end?

Answer 1

Dilton's amount --- x
Ethan's amount ---- x+120

amount left after the spending spree:
Ethan: 0.2(x+120)
Dilton: .4x

.4x + .2(x+120) = 270
.4x + .2x + 24 = 270


calculate the rest and state you conclusion

Answer 2

E = Ethan's money in beginning

D = Dilton's money in beginning

Ethan has $120 more than Dilton means:

E = D + 120

After Ethan spent 80% of the money he got 20% of the money.

20% = 20/100 = 0.2

Ethan has 0.2 ( D + 120 ) money left

After Dilton spent 60% of the money, he got 40% of the money.

40% = 40 / 100 = 0.4

Dilton has 0.4 D of money left.

In total they have left:

0.2 ( D + 120 ) + 0.4 D = 270

0.2 D + 24 + 0.4 D = 270

0.6 D + 24 = 270

Subtract 24 to moth sides

0.6 D = 246

D = 246 / 0.6 = 410

Dilton have $410 in beginning

E = D + 120

E = $410 + $120 = $530 in beginning

After Ethan spent 80% of the money he got 20% of the money.

20% = 20 / 100 = 0.2

In the end Ethan have left 0.2 ∙ $530 = $106