Question

I am a little confused...

Answer 1

Four friends are collecting canned goods for charity. Ron collects 10 more than 3 times as many
cans as Jasmine. Barry collects twice as many cans as Jasmine. Alicia collects 10 more cans than
Barry. How many cans does each person collect if Jasmine and Ron collect the same number of
cans as Alicia and Barry?

I did this..
R = 3j + 10
B = 2j
A = B + 10 --> 2j + 10
(J + R) = (A + B)

J + (3J + 10) = (2J + 10) + 2J
4J + 10 = 4J + 10

Is there really infinite solutions to this question ? It just seems wrong

Answer 2

Yes that looks right

Answer 3

so what do I put for the answer : How many cans does each person collect ??

Answer 4

infinitely many

Answer 5

oh....ok....I couldn't find any mistakes that I made...the answer of infinite solutions just sounded weird. Thanks everybody for the help

Answer 6

No problem

Answer 7

Why would it sound weird?
How many solutions does y + 2 = y + 2 have?
or 0*a = 0?

Answer 8

just the question...I was expecting a number for each one ....not " any number ".
Just the question : how many does each one collect ? That kinda threw me off

Answer 9

yes, infinitely many is an unrealistic result :)

Answer 10

thanks skullpatrol....I feel sane now...thought I was going crazy...lol

Answer 11

The result satisfies the equations used,
but not the conditions of the problem situation.

Answer 12

true :)