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# A shop sells 1 chocolate at \$1. you can exchange 3 wrappers for 1 chocolate. if you have \$15, how many chocolates can you get?

please tell me the steps to solve this! i seriously appreciate your help!!

### 2 Answers by Expert Tutors

Katherine P. | Shoreview Area Math Tutoring and Test PrepShoreview Area Math Tutoring and Test Pr...
5.0 5.0 (569 lesson ratings) (569)
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The key to problems like these are to:

1. Identify the elements: dollars, wrappers, chocolates
2. Identify (and remember!) the goal: changing dollars and wrappers into chocolates

You can write each element in terms of your goal (chocolate).

• dollars (\$1 = 1 chocolate)
• sets of wrappers (3 wrappers = 1 chocolate)

Now work on the goal - change those dollars and wrappers into chocolate. After each calculation you make, check your balance - how many dollars and how many wrappers are left?

Balance: 15 dollars, 0 wrappers, 0 chocolates

• Change dollars into chocolate and wrappers
• Spend 15 dollars, Get 15 chocolates, 15 wrappers

New balance: 0 dollars, 15 wrappers, 15 chocolates

• Change wrappers into chocolates and wrappers
• Spend 15 wrappers, Get 5 chocolates and 5 wrappers

New balance: 0 dollars, 5 wrappers, 20 chocolates

• Change wrappers into chocolates and wrappers
• Spend 3 wrappers, Get 1 chocolate and 1 wrapper

New balance: 0 dollars, 3 wrappers, 21 chocolates

• Change wrappers into chocolates and wrappers
• Spend 3 wrappers, Get 1 chocolate and 1 wrapper

New balance: 0 dollars, 1 wrappers, 22 chocolates

Can you buy any more chocolates? Not with 0 dollars and less than 3 wrappers, so you know you're done!

If you found this explanation helpful, please click the "vote up" thumbs up button. :)

Katherine P.

really great. appreciate it!!

Everything is okay.

But finally u will be left with 22 chocolates and 0 wrappers

From \$15 -> 15 Chocolates and 15 Wrappers
From 15 Wrappers -> 5 Chocolates and 5 Wrappers
From 5 Wrappers -> 1 Chocolate,1 New Wrapper and 2 old Wrapper from previous balance
From 3 Wrappers -> 1 Chocolate, 0 Wrappers left

Final answer is 22 and no more wrappers left.

Curious... i percieve a major flaw in your answer. The joke is written in present tense. Thay being said, that means you walk up to a store with \$15, you can only purchase 15 chocolates, I mean presumptively you would consume the chocolates, exchange, consume, and exchange... but the joke doesn't mention anything about leaving the store, but it says currently you have \$15 and....
that being said, it would just depend, perceptionally, how one would Interpret the question.
The answer is actualy 21 chocolates and you will have 2 wrapers left over.

\$15 = 15 chocolates
15 wrapers = 5 chocolates
3 wrapers = 1 chocolate
2 wrapers left
Lee B. | Dedicated Friendly TutorDedicated Friendly Tutor
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15 Chocolates provides 15 wrappers, but it takes 3 wrappers to buy 1 chocolate.

15/3 = 5 chocolates you can buy from your original 15 chocolates

Now you have 5 new wrappers

5/3 = 1.66, so you can buy 1 more chocolate.

So lets add it all up.

15 chocolates + 5 chocolates + 1 chocolate = 21 chocolates from your original \$15