A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

I can't figure out how to set up this problem...can anyone help me? A thief steals a number of rare plants from a nursery. On the way out, the thief meets 3 security guards, one after another. To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. Finally, the thief leaves the nursery with 1 lone palm. How many plants were originally stolen?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OK N = the number of original plants. Let w,x,y,z equal the thief and security guard number of plants in each's possession. The theif has 1 plant so w=1. Now our equation is: 1+ x +y + z = N Let's do the # of plants that the first guard, x, gets: 'To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. ' So I read this as... x = N/2 + 2 Now our equation is 1 + (N/2+2) + y + z = N Create a second equation for y...(it get's uglier)... \[y=\Bigg [ \frac {N-\big ( \frac {N} {2} + 2 \big )} {2} + 2\Bigg ]\]

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[z= \bigg (\frac {N-y} {2}+2\bigg )\]

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How did it go? Did you get it. Looks ugly doesn't it. BTW I worked backwards to check the answer N=36.

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.