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Liono4ka [1.6K]
3 years ago
8

Tickets to a play cost $5 for adults and $2 for children. If 1,750 tickets were sold for a total of $7,100, how many children’s

tickets were sold? Can someone explain me how to make this one step by step?
Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0
A - quantity tickets  for  adults.  It costs 5a dollars
c - quantity tickets for children. It costs 2c dollars.

There were 1750 tickets sold, so  a+c=1750$.  That's mean  a = 1750 - c. 

Total: 7 100$,  That's mean  5a + 2c = 7 100.  Substitute now  1750-c instead "a" :

5(1750-c) + 2c = 7100
8750 - 5c + 2c = 7100
-3c = -1650    |divide (-3)
c = 550

So a =1750 -c = 1750 - 550 = 1200

There were sold 1200 tickets for adults and 550 tickets for children
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