Question

OwlKid's puzzle.

A yard sale is selling Lay's packets each for $1.
For every three waste wrappers you give him, you get another packet.
How many Lay's packets can you buy if you have $15?

Answer 1

I didn't know you liked rap music Parth ;-) (typo?)

1 packet per $1 = rate
3 packet's wrappers = +1 more packet (for free, yes)?

\[f(d) = \lfloor \frac{4}{3}\cdot (1 \frac{packet}{$})\cdot (d \ \ $) \rfloor\]

I think? I've never been very strong with these types of problems

Answer 2

That's a floor function btw, truncates, since you can't have a third of a packet.

Find f(15)

Answer 3

Also Parth, I thought you hated integrals?

Answer 4

Wow. I prefer it manually.

Answer 5

And yeah, for free.

Answer 6

twenty one?

Answer 7

Close, but not correct.

Answer 8

25

Answer 9

Hmm. Still close.

Answer 10

hmmm

Answer 11

22...

Answer 12

Right there. What water said.

Answer 13

$15=15p+15w
15w=5p+5w
3w=1p
1p+2w=1p

$15=15p+5p+1p+1p=22p

Answer 14

\( \color{Black}{\Rightarrow $15 \Longrightarrow 15packs \Longrightarrow 15 wrappers \Longrightarrow +5packs \Longrightarrow 3 + 2 wrappers}\)

\(\Longrightarrow +1pack + 2wrappers \Longrightarrow 1 wrapper + 2 wrappers \Longrightarrow 3 \)wrappers.

15 + 5 + 1 + 1 = 22

Answer 15

See, we bought 15 packets with $15 directly..

Now out of 15 packets we have 15 wrappers..

So, for every 3 wrapper we get 1 so 15 wrappers will give us 5 more packets..

Now, we have 5 wrappers, out of 5 wrappers, we will get 1 more packet..

Now, this 1 packet and that remaining two wrapper will make 3 wrappers that is 1 more packet..

So,

15 + 5 + 1 + 1 = 22

Answer 16

Great job, both of you!