500 tickets were sold for a concert tickets for adults and children were sold at $4.50 and $3.00 respectively if the total receipts for the concerts was $1987.50 how many tickets for adults were sold?
-
325
- 235
- 175
- 400
The correct answer is: A
Explanation
A for Adults
C for children
a + c = 500
c = 500 - a
4.5a + 3c = 1987.50
where c = 500 - a
4.5a + 3(500 - a) = 1987.50
4.5a - 3a = 1987.50 - 1500
1.5a = 487.5
a = 487.5 / 1.5
a = 325 tickets
c = 500 - a
c = 500 - 325
c = 175 tickets
Check:
from 4.5a + 3c
4.5 (325) = 1,462.5
+
3(175) = 525