Question

00

3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts

Answer 1

number of adult shirts sold (a) = 20

number of youth shirts sold (b) = 10

Explanation:

a = number of adult shirts sold

y = number of youth shirts sold

30 = a + y

$324.50 = 11.50a + 9.45y

This is the resulting system of equations from the given information in the problem.

Solve for y in the first equation and then substitute the equation for y into the second equation :

a+y=30 --> y=30-a

324.50 = 11.50a + 9.45(30-a)

Solve for a.

324.50 = 11.50a + 283.5 - 9.45a

41 = 2.05a

a = 20

Now that we have solved for a, we can back substitute into our equation for y and solve.

y=30-(20)

y = 10

CHECK:

(20)+(10) = 30 True

(11.50)(20) + (9.45)(10) = 324.5 True