Question

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?

Answer 1

Answer: The value of D is $300.

Step-by-step explanation:

Since we have given that

Let the amount she had be D dollars.

Part of amount spent on electric skateboard = $\dfrac{3}{5}D$

Part of amount left from above spent on movie = $\dfrac{1}{3}\times \dfrac{2D}{5}$

Part of amount remaining is given by

$(1-\dfrac{3D}{5})\times \dfrac{2}{3}\\\\=\dfrac{2D}{5}\times \dfrac{2}{3}\\\\=\dfrac{4D}{15}$

Amount she left with = $80

According to question, we get that

$\dfrac{4D}{15}=80\\\\D=\dfrac{80\times 15}{4}\\\\D=20\times 15\\\\D=\ 300$

Hence, the value of D is $300.