Answer:
a) $3,600 b) $800
Step-by-step explanation:
a)
He had originally x amount of money.
He spent $1600 on a TV.
Now he has x - 1600.
Then he spent 2/5 of the remainder on a fridge.
He spent 2/5(x - 1600) on the fridge.
Finally he has 1/3 of x left.
original amount - TV money - fridge money = (1/3)x
x - 1600 - (2/5)(x - 1600) = (1/3)x
Multiply both sides by the LCM of the denominators: 3 * 5 = 15
15[x - 1600 - (2/5)(x - 1600)] = 15[(1/3)x]
15x - 15(1600) - (15)(2/5)(x - 1600) = 5x
15x - 24,000 - 6x - 9600 = 5x
9x - 14,400 = 5x
4x = 14,400
x = 3,600
His original savings was $3600.
b)
He started with $3,600.
He spent $1,600 on the TV. Now he has $3,600 - $1,600 = $2000.
He spent 2/5 of the remainder in the fridge. 2/5 * $2,000 = $800
The fridge cost $800.
