Question 1114236
1) a + s = 9
:
2) 4a + 3s = 31
:
solve equation 1 for a
:
a = 9 - s
:
substitute for a in equation 2
:
4(9 - s) + 3s = 31
:
36 - 4s + 3s = 31
:
-s = -5
:
s = 5
:
a = 9 - 5 = 4
:
************************************************************
Josh bought 4 adult tickets and 5 student tickets
:
check answer with equation 2
:
4(4) + 3(5) = 31
:
16 + 15 = 31
:
31 = 31
:
our answer checks
:
from equation 2, we see that
:
Josh spent $16 on adult tickets and $15 on student tickets
************************************************************
: