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by [email protected] » Wed Jun 11, 2014 6:10 am

63) Lilly has $8.28 to spend on candy. She only likes chocolate eggs (16 cents apiece), marshmallow chickens (11 cents apiece), and licorice penguins (7 cents apiece). What is the maximum number of chocolate eggs she can buy and still spend all her money?


48


49


50


51


52

The solution given says they Lily doesn't buy any Marshmellows, can that be the case?
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by GMATGuruNY » Wed Jun 11, 2014 8:36 am
[email protected] wrote:
63) Lilly has $8.28 to spend on candy. She only likes chocolate eggs (16 cents apiece), marshmallow chickens (11 cents apiece), and licorice penguins (7 cents apiece). What is the maximum number of chocolate eggs she can buy and still spend all her money?


48


49


50


51


52

The solution given says they Lily doesn't buy any Marshmellows, can that be the case?
We can PLUG IN THE ANSWERS, which represent the greatest number of eggs that can be purchased.

E: 52
At a price of 16 cents per egg, the total cost of 52 eggs = 52*16 = 832.
Since Lilly has only 828 cents to spend, eliminate E.

D: 51
Since the cost for 52 eggs = 832, the cost for 51 eggs = 832-16 = 816.
Remaining amount to spend = 828 - 816 = 12.
It is not possible to spend 12 cents on chickens priced at 11 cents each and/or penguins priced at 7 cents each.
Eliminate D.

C: 50
Since the cost for 51 eggs = 816, the cost for 50 eggs = 816-16 = 800.
Remaining amount to spend = 828 - 800 = 28.
Since penguins are priced at 7 cents each, the remaining 28 cents could be used to purchase 4 penguins.

The correct answer is C.

The problem states that Lilly has 828 cents to spend and that she LIKES only 3 types of candy.
Nothing in the problem requires that she PURCHASE all 3 types of candy.
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by Brent@GMATPrepNow » Wed Jun 11, 2014 11:23 am
[email protected] wrote:
63) Lilly has $8.28 to spend on candy. She only likes chocolate eggs (16 cents apiece), marshmallow chickens (11 cents apiece), and licorice penguins (7 cents apiece). What is the maximum number of chocolate eggs she can buy and still spend all her money?

A) 48
B) 49
C) 50
D) 51
E) 52

The solution given says they Lily doesn't buy any Marshmallows, can that be the case?
Sure. There's nothing in the question that says Lilly must buy at least 1 of each candy.

Here's a slightly different solution:

Unit Costs:
- Chocolate eggs: 16 cents
- Marshmallow chickens: 11 cents
- Licorice penguins: 7 cents

Lilly must spend ALL 828 cents.

When we divide 828 by 16, we get 51 with remainder 12
In other words, with 828 cents, Lilly can buy 51 chocolate eggs and have 12 cents remaining. Since she must spend ALL 828 cents, and since we can't spend all of the remaining money on the other candies, this scenario is no good.
So, Lilly must buy FEWER than 51 chocolate eggs

Aside: we can now eliminate D and E

Let's see what happens is we buy 50 chocolate eggs. Buying 1 less chocolate egg means we free up an ADDITIONAL 16 cents to spend on other candies. So, we now have 28 cents remaining. With this 28 cents, we can buy 4 licorice penguins and have NO MONEY REMAINING - perfect!!

Answer: [spoiler]50 = C[/spoiler]

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