SOLUTION: Hi 60 pupils sold some tickets. Each boy sold 3 tickets and Each girl sold 5 tickets. In the end the boys sold 4 more tickets than the girls. How many more boys than girls were th

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Question 1205912: Hi
60 pupils sold some tickets. Each boy sold 3 tickets and Each girl sold 5 tickets. In the end the boys sold 4 more tickets than the girls. How many more boys than girls were there.

Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
60 pupils sold some tickets. Each boy sold 3 tickets and Each girl sold 5 tickets. In the end the boys sold 4 more tickets than the girls. How many more boys than girls were there.
Let number of boys be x and girls be y
x+y=60.........................1
Each boy sold 3 tickets = They sold 3x tickets
Each girl sold 5 tickets. So they sold 5x tickets
the boys sold 4 more tickets than the girls.
3x -5y=4......................2

x+y=60.........................1
3x -5y=4......................2
Multiply eq 1 by 5 and add to eqn 2
5x+5y=300
3x-5y=4
8x =304
x = 38
x+y=60
38+y=60
y=60-38= 22
So, there were 38 boys and 22 girls.
You could do the rest of it


Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Sixty tickets, boys and girls
n boys
60-n girls

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Each boy sold 3 tickets and Each girl sold 5 tickets.
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3n-5%2860-n%29, difference between number of tickets.

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the boys sold 4 more tickets than the girls.
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3n-5%2860-n%29=4
-
3n-300%2B5n=4
8n=304
n=38----------the number of boys

How many more boys than girls?
Number of girls, 60-38=22.

How many MORE boys than girls?
38-22=highlight%2816%29