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

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(39625)   (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.

----
----

The description allows the equation

See common smallest denominator is .

---------and continue on to answer the exercise's questions.
Answer by ikleyn(52847)   (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 = . 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)   (Show Source): You can put this solution on YOUR website!
assume Team Drinks raised $x in 1st week
so Team Cupcake raised $x in the 1st week.
x + 214 = (x + 260)
x = 427
427 + 260 = 687
687 * = 458
458 + 687 = 1,145
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