Question

There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50. How do you algebraically solve this using the given equations?

x + y = 239
15x + 5.50y = 2758.50

Answer 1

To solve this problem algebraically, multiply the first equation by 5.50 to eliminate one variable. Subtract the first equation from the second equation to find x. Substitute the value of x into the first equation to find y. Therefore, there were 152 adults and 87 children at the Travis Scott concert.

Step-by-step explanation:

To solve this problem algebraically, we can use the given equations:

x + y = 239

15x + 5.50y = 2758.50

To eliminate one variable, we can multiply the first equation by 5.50 to make the coefficients of y the same:

5.50x + 5.50y = 1314.50

15x + 5.50y = 2758.50

Next, subtract the first equation from the second equation:

(15x + 5.50y) - (5.50x + 5.50y) = 2758.50 - 1314.50

9.5x = 1444

Divide both sides of the equation by 9.5:

x = 1444 / 9.5

x = 152

Substitute the value of x into the first equation to find y:

152 + y = 239

y = 239 - 152

y = 87

Therefore, there were 152 adults and 87 children at the Travis Scott concert.