SOLUTION: A fun-raising project lasted 2 weeks. In the 1st week, Team Cupcakes raised 4/7 as much as money as Team Drinks. In the 2nd week, Team Cupcakes raised another $214 while Team Dri

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A fun-raising project lasted 2 weeks. In the 1st week, Team Cupcakes raised 4/7 as much as money as Team Drinks. In the 2nd week, Team Cupcakes raised another $214 while Team Dri      Log On


   

Question 1184463: A fun-raising project lasted 2 weeks.
In the 1st week, Team Cupcakes raised 4/7 as much as money as Team Drinks.
In the 2nd week, Team Cupcakes raised another $214 while Team Drinks raised another
$260.
The total amount raised by Team Cupcakes was 2/3 as much as the total amount raised
by Team Drinks.
What was the total amount of money raised by the two teams?
I not yet learnt algebra. Please help me to solve this problem
Found 3 solutions by josgarithmetic, ikleyn, 54929:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
A FUND-raising project
                     1st week         2nd week     TOTALS

Team Cupcakes        (4/7)d             214        (4/7)d+214

Team Drinks            d                260          d+260

Now you should be able to find what to do with, "The total amount raised by Team Cupcakes was 2/3 as much as the total amount raised
by Team Drinks.", and the question. Very literal.

----
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The description allows the equation
highlight_green%284d%2F7%2B214=%282%2F3%29%28d%2B260%29%29

See common smallest denominator is 3%2A7.
%283%2A7%29%284d%2F7%2B214%29=3%2A7%282%2F3%29%28d%2B260%29
12d%2B21%2A214=14d%2B14%2A260
d=%2821%2A214-14%2A260%29%2F2
d=7%28321-260%29
highlight_green%28d=427%29---------and continue on to answer the exercise's questions.

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
A fund-raising project lasted 2 weeks.
In the 1st week, Team Cupcakes raised 4/7 as much as money as Team Drinks.
In the 2nd week, Team Cupcakes raised another $214 while Team Drinks raised another $260.
The total amount raised by Team Cupcakes was 2/3 as much as the total amount raised by Team Drinks.
What was the total amount of money raised by the two teams?
I not yet learnt algebra. Please help me to solve this problem
~~~~~~~~~~~~~~~~~~~


            This problem is  NOT  INTENDED  for those who  " not yet learnt algebra ".
            THEREFORE,  I will  IGNORE  your note saying that you did not learn algebra,  yet.
            I will solve it as if I communicate with a person who is able to understand the subject.


                    If you do not understand - - - then it is  YOUR  problem - not mine.
                    If not you, then next generations of students will learn from my solution,  reading it in the future from the archive.


For short,  I will call the teams by letters   " C "   and   " D ". 


Since "The total amount raised by Team C was 2/3 as much as the total amount raised by Team D",

I will assume that total amount raised by D was 3x dollars, while the total amount raised by C was 2x dollars.


Then 

   the team D's raising in the 1st week  is  3x - 260  dollars,  while

   the team C's raising in the 1st week  is  2x - 214  dollars.


Based on problem's condition, we have this equation


    2x - 214 = %284%2F7%29%2A%283x-260%29.


To solve this equation, multiply both sides by 7, then simplify.


    14x - 7*214 = 12x - 4*260

    14x - 12x = 7*214 - 4*260

       2x     = 458.

        x     = 458/2 = 229.


The total amount of money raised by the two teams is then  2x + 3x = 5x = 5*229 = 1145 dollars.     ANSWER

Solved.



Answer by 54929(12) About Me  (Show Source):
You can put this solution on YOUR website!
assume Team Drinks raised $x in 1st week
so Team Cupcake raised $4%2F7x in the 1st week.
4%2F7x + 214 = 2%2F3 (x + 260)
x = 427
427 + 260 = 687
687 * 2%2F3 = 458
458 + 687 = 1,145