A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

A stamp collector bought 160 stamps for $25.00. The purchase included 5¢ stamps, 15¢ stamps, and 25¢ stamps. The number of 15¢ stamps is three times the number of 5¢ stamps. How many of each type of stamp was purchased?

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

    I found 25 cents and 15 cents, but i cant seem to find 5 cents

  2. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how did you solve this for 25c and 15c?

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

    160-4x = 160 -(4*30) = 40 for 25 cents 160 - 3x = 160 - (3*30) = 90 for 15 cents

  4. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how did you get 4x?

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

    let 5cents stamps to be x and so for 15cents and 25 cents as y ,z respectively

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i addded 3x + x

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now 15 cts stamps are thrice the time of 5 cts => y=3x;

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now again total no. stamps is 160 hence x + y + z =160 also total amount is 25 $ so 5x+15y+25z=25

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    solve all three equetions for solutions

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okaay

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    would i plug in 25 for x y and z?

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no x for 5 , y for 15 and 25 for z

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    from 1st eq. y=3x puting in 2nd and 3rd we have x+3x+z=160 => 4x + z = 160 ............1 and 5x + 15*3x + 25 z = 2500 ..........2 (since in doller not in cents) => 50x + 25z =2500 or 2x + z = 100 .........2

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wouldnt it be .5 .15 .25?

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now from new equation 4x +z =160 and 2x + z =100 2(100-z) + z = 160 200 -2z +z =160 => z=40 put in 2x +z = 100 => x=(100-40 ) / 2 x = 30 and y = 3*30 as 3x y=90 hence solved as 30 stamp for 5 c 40 stamps for 25 c and 90 stamps for 15 c

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes .5 .25 .15 for 25 or 5 25 15 for 2500 both are same

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh okay, thank you :)

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it s okay ;)

  19. 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.