Answer:
number of adult tickets = 375 tickets
Step-by-step explanation:
Assume that the number of adult tickets is a and the number of student tickets is s.
We are given that:
Total number of sold tickets is 821. This means that:
a + s = 821 ............> equation I
Number of student tickets is 71 more than adult tickets. This means that:
s = a + 71 .........> equation II
Substitute with II in I and solve for a as follows:
a + s = 821
a + 71 + a = 821
2a + 71 = 821
2a = 821 - 71
2a = 750
a = 750 / 2
a = 375
Substitute with the value of s in equation I to get s as follows:
a + s = 821
s + 375 = 821
s = 821 - 375
s = 446 tickets
Based on the above:
number of adult tickets = a = 375 tickets
number of student tickets = s = 446 tickets
Hope this helps :)