1. Worded problem

Hey everyone,

Sorry to annoy you again with another eally easy question but i can't seem to be able to get the right answer. Here's the question:

Three girls are playing scrabble. At the end of the game, the total of their scores adds up to 504. Annie scored 10% more than Belinda, while Cassie scored 60% of the combined scores of the other two. What did each player score?

Thanks in advance for the help.

2. let A be Annie's score, B be Belinda's score and C be Cassies score.

At the end of the game, the total of their scores adds up to 504
so A+B+C = 504

Annie scored 10% more than Belinda
A = B+B*10/100

while Cassie scored 60% of the combined scores of the other two
C = 10/100*(A+B)

I think you can probably continue from here.

3. Thanks for that. I think I should be alright now

4. Wait, why does C=10/100*(A+B)

Why 10%?

5. Originally Posted by Stevo_Evo_22
Wait, why does C=10/100*(A+B)

Why 10%?
It should be C = 60/100*(A + B). It was probably a typo.

-Dan

6. Thanks I thought so, but wasn't quite sure.

Thanks for the help!

7. Ok so the equation is:

A*10/100 + 60/100*(A+B) + B = 504 ?

If so, I still can't get the answer

8. Originally Posted by Stevo_Evo_22
Ok so the equation is:

A*10/100 + 60/100*(A+B) + B = 504 ?

If so, I still can't get the answer
try to get everything in one variable. from the second equation given, solve for B to get it in terms of A. in the (corrected) third equation, plug in that formula for B to get C in terms of A. then plug all those formulas into the first equation A + B + C = 504. the last equation should have only A's in it, in which case it will be easy to solve

9. How do i solve it for B?

10. Originally Posted by Stevo_Evo_22
How do i solve it for B?
$\displaystyle A = B + \frac 1{10}B$ ...........add the B's

$\displaystyle \Rightarrow A = \frac {11}{10}B$ .........multiply both sides by 10/11

$\displaystyle \Rightarrow B = \frac {10}{11}A$

11. Thanks heaps-I got the answers.

Just one question-How do you know what to put it in terms of? For example how did you know to get it in terms of A?

12. Originally Posted by Stevo_Evo_22