Respuesta :
Answer:
The price of an adult would be 18 dollars.
Step-by-step explanation:
Answer: Adult ticket=19 Child ticket=12
Step-by-step explanation:
Let's say the price of an adult ticket is y. The price of a children's ticket is x.
If three adults and four children pay $105 the equation is: 3y+4x=105
If two adults and three children pay $74, the equation is 2y+3x=74
There are multiple ways we can tackle this problem. This is one way:
First, let's try to eliminate one variable. Eliminate y from any equation.
3y + 4x = 105
-4x -4x (-4x from each side)
3y = 105 - 4x
/3 /3 (divide by 3 on each side)
y = 35 - 4/3x
Now we can plug this in the other equation for y and solve.
2(35 - 4/3x) +3x =74
70 - 8/3x +3x = 74
70 - 1/3x = 74
-70 - 70
1/3x = 4
divide by 1/3 on each side
x=12
Now solve for y.
2y+3x=74
2y + 3(12) = 74
2y + 36 = 74
-36 -36
2y = 38
/2 /2
y=19
Adult ticket=19 Child ticket=12
