A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
26 fifth graders collected 500 canned goods. If some students collected one more can than the rest, how many collected 19 and how many collected 20?
anonymous
 5 years ago
26 fifth graders collected 500 canned goods. If some students collected one more can than the rest, how many collected 19 and how many collected 20?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, so assuming that the only two options are 19 and 20 cans collected

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0right, so the two unknowns are the number of students that collected 19, and the number that collected 20

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so you have two unknowns, and you need two equations to solve

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so we know that: x*19 + y*20 = 500  with x= te number o students that collected 19, and y being te number of students that collected 20

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0we also know that x+y =26  there are 26 students in all that collected cans

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so our two equations are: 1. x + y = 26 2. 19x + 20y = 500 And now you want to substitute the value of y in the first equation, into the second equation

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so y = 26  x now replace (subsitute) that in place of the y in the second equation you get: 19 *x + 20(26x) = 500

sandra
 5 years ago
Best ResponseYou've already chosen the best response.019x + 520  20x = 500 x + 520 = 500 x = 20 x = 20

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 20 students got 19 cans

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0now subsitute that value back into the first equation: x + y = 26  given x = 19 19 +y = 26 y = 7

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so 19 students got 19 cans, and 7 got 20 cans

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0whoops sorry, 20 got 19 cans, and 6 got 20 cans  not sure where I got the 19 in the previous step
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.