Tickets to a play cost $5 for adults and $2 for children. If 1,750 tickets were sold for a total of $7,100, how many children’s tickets were sold? Can someone explain me how to make this one step by step?
a - quantity tickets for adults. It costs 5a dollars
c - quantity tickets for children. It costs 2c dollars.
There were 1750 tickets sold, so a+c=1750$. 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
The number of children's ticket sold for the play is 550.
5a + 2b = $7100 equation 1
a + b = 1750 equation 2
Where:
a = adult tickets sold
b = number of children's ticket sold
In order to determine the answer, multiply equation 2 by 5:
5a + 5b = 8750 equation 3
Subtract equation 3 from equation 1
3b = 1650
Divide both sides by 3
b = 550
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552