SOLUTION: Joe maintains a special account just for entertainment. One week, he spends 20% of this account of entertainment. The next week, he spends 25% of what remains on entertainment. Aft

Question 1102125: Joe maintains a special account just for entertainment. One week, he spends 20% of this account of entertainment. The next week, he spends 25% of what remains on entertainment. After the two weeks, Joe ends up with y dollars in this account. How much did Joe originally have in his special entertainment account?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Joe maintains a special account just for entertainment. One week, he spends 20% of this account of entertainment. The next week, he spends 25% of what remains on entertainment. After the two weeks, Joe ends up with y dollars in this account. How much did Joe originally have in his special entertainment account?
------------
start:: x
after one week:: 0.8x
After next week: 0.75(0.8x) == 0.6x
---
Equation:
0.6x = y
Ans:: x = 10y/6 = (5/3)y
--------------
Cheers,
Stan H.
---------
RELATED QUESTIONS
Mike works part time to earn spending money and to save for college. Each month he saves... (answered by stanbon)

An appliance store has the following items on sale: 19� color television for $399... (answered by richard1234)

Jennifer is the owner of a video game and entertainment software retail store. She is... (answered by Boreal)

Jennifer is the owner of a video game and entertainment software retail store. She is... (answered by Theo)

The speed of a motor boat in still water is 60kph. It goes 100km up the river and then... (answered by josmiceli,mathstutor494)

Please help me solve this Algebra in Finance: A person earns $100 a week for 15 weeks. He (answered by user_dude2008)

Janice divides her weekly pay of $685 in a ration of 3:2. She spends 3 parts on bill and... (answered by rfer)

Jake's take-home pay for his first week of fruit picking was $800. His expenses for... (answered by JBarnum)

Stella invested $500 in a special savings account. The balance of this special savings... (answered by ikleyn)