431 attended creekview’s musical on Friday night. Admission was $12 each adults and $5.50 each for children. The theatre department made $3183. How many adults and children attended

Answer 1

a = adults

c = childrens

431 attended creekview’s musical on Friday night means:

a + c = 431

Admission was $12 each adults and $5.50 each for children. The theatre department made $3183 means:

12 a + 5.5 c = 3183

Now you must solve system:

a + c = 431

12 a + 5.5 c = 3183

Solution is a = 125 , c = 306

Check results:

a + c = 125 + 306 = 431

12 a + 5.5 c = 12 ∙ 125 + 5.5 ∙ 306 = 1500 + 1683 = 3183

Answer 2

x+y = 431
12x+5.5y = 3183
Multiply Eq1 by 12 and subtract Eq2:
12x+12y = 5172
12x+5.5y = 3183
Diff: 6.5y = 1989
Y = 306 children
x+306 = 431
X = ___ adults.