BTGmoderatorDC wrote:After her birthday, Fiona had D dollars in gift money. She spent 3/5 of this on an electric skateboard. The next day, she spent 1/3 of what was left on a movie passcard, and then finally put the last $80 in the bank. If she made no other purchases with that money, then what was the value of D?
A. $240
B. $300
C. $320
D. $360
E. $480
OA B
Source: Magoosh
One option is to WORK BACKWARDS
The next day, she spent 1/3 of what was left on a movie passcard, and then finally put the last $80 in the bank.
If she spent 1/3 of her money on a movie passcard, then 2/3 of her money remained (which she put in the bank).
This means 2/3 of her money = $80
We can also say that 1/3 of her money = $40
So, she spent $40 on a movie passcard and saved $80
In other words, at the beginning of that day, she had
$120
After her birthday, Fiona had D dollars in gift money. She spent 3/5 of this on an electric skateboard.
If she spent 3/5 of her money (on a skateboard), then 2/5 of her money remained (to be spent on a movie passcard the following day).
In other words, 2/5 of D =
$120
Or we can write: (2/5)D =
$120
Multiply both sides by 5 to get: 2D = $600
Divide both sides by 2 to get: D = $300
Answer: B
Cheers,
Brent
