Question 38683
Marc sold 464 tickets for the school play. Student tickets cost $2 and adult tickets cost $5. Marc's sales totaled $1654, How many adult and how many student tickets did Marc sell?
Define variables:
s=number of student tickets
a=number of adult tickets
Define variables:
{{{s + a = 464}}}
{{{2s + 5a = 1654}}}
Combine:
{{{-2s - 2a = -928}}}
+
{{{2s + 5a = 1654}}}
=
{{{3a = 726}}}
{{{a = 242}}}
Fill in:
{{{s + a = 464}}}
{{{s + 242 = 464}}}
{{{s = 222}}}