SOLUTION: 325 children are in a concert. 3/4 of the girls left the concert. 4/5 of the boys left the concert. There were 29 more boys than girls in the concert. How many girls are there ?

Question 1132817: 325 children are in a concert. 3/4 of the girls left the concert. 4/5 of the boys left the concert. There were 29 more boys than girls in the concert. How many girls are there ?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!

I sincerely hope that English is not the native language of the person who wrote this problem. The random use of present and past tenses throughout the statement of the problem is atrocious.

Let me rewrite the problem the way I THINK it was meant:

325 children WERE in a concert. 3/4 of the girls left the concert. 4/5 of the boys left the concert. AFTER THAT, there were 29 more boys than girls STILL in the concert. How many girls WERE there AT THE BEGINNING?

Now that we have wasted a lot of time trying to figure out what the question is, we can move on to finding the answer.

There were initially 325 children in the concert. So

(1)

3/4 of the girls left, so 1/4 of them were still in the concert; 4/5 of the boys left, so 1/5 of them were still in the concert. After that, the number of boys was 29 more than the number of girls:

(2)

There is a system of two linear equations. Solve the system any way you like....
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.

If you want to see other similar solved problems, look into the lesson
    - Advanced problems on ratios
in this site.

Learn from there on how to solve such problems once and for all.

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