Andrew M. answered • 09/28/18

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Let s = number student tickets sold

Let a = number adult tickets sold

s is 56 less than 3 times a:

**s = 3a - 56 {equation 1}**

Total receipts are $2005 with student tickets cost $3.50 and adult tickets cost $5

**3.5s + 5a = 2005 {equation 2}**

Substitute 3a-56 in place of s in equation 2 and solve for a to find # adult tickets

3.5(3a-56) + 5a = 2005

10.5a - 196 + 5a = 2005

15.5a = 2005 + 196

15.5a = 2201

a =

**142 adult tickets sold**s = 3(142) - 56 =

**370 student tickets sold**