Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,679 was collected on the

sale of 1,127 tickets. How many of each type of ticket were sold?

The basketball game sold

adult tickets and

student tickets.

Hi

let's call X : adults entries and Y = students entries

so : 5X+Y = 2 679 and X+Y = 1 127 so Y = 1127 - X

so : 5X + 1127-X = 2 679

4X = 2679 - 1127

4X = 1552

X = 1552 / 4 = 388

so there is 388 adults tickets sold

So as X = 388

we have : 388 + Y = 1127

Y = 1127 - 388 = 739

let's check : 5 * 388 + 739 = 2679

388 + 739 = 1 127

Answer: 388 adult tickets were sold and 739 children tickets were sold.

Step-by-step explanation:

5a + 1s=2,679

1a + 1s = 1,127 solve by elimination

5a + 1s = 2679

-5a - 5s = - 5635

-4s = - 2956

s = 739

5a + 1 (739) = 2679

5a + 739 = 2679

-739 - 739

5a = 1940

a = 388