[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]
Cheers,
Brent
