SOLUTION: A total of 925 tickets were sold for a game for a total of $2,495. if adult tickets sold for $5.00 and childrens sold for $2.00, how many of each kind of ticket were sold? I saw

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Question 635356: A total of 925 tickets were sold for a game for a total of $2,495. if adult tickets sold for $5.00 and childrens sold for $2.00, how many of each kind of ticket were sold?
I saw this question like this and the farthest I got was 5a+2c=2495
What do I do from that point?
Found 2 solutions by Maths68, lwsshak3:
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!

Children Tickets Sold = x
Adult tickets sold = 925-x
Total Amount collected = 2495

(Price of Adult ticket)(Adult tickets sold)+(Price of a child ticket)(Children tickets sold) = Total Amount collected
(5)(x)+(2)(925-x)=2495
5x+1850-2x=2495
5x-2x=2495-1850
3x=645
3x/3=645/3
x=215



Children Tickets Sold = x = 215
Adult tickets sold = 925-x = 710


Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A total of 925 tickets were sold for a game for a total of $2,495. if adult tickets sold for $5.00 and childrens sold for $2.00, how many of each kind of ticket were sold?
**
let x=no. of adult tickets sold
925-x=no. of children tickets sold
..
5x+2(925-x)=2495
5x+1850-2x=2495
3x=2495-1850=645
3x=645
x=215
925-x=710
..
no. of adult tickets sold=215
no. of children tickets sold=710
..
you could have continued with your solution by noting that:
a+c=925
c=925-a