Question

A fair charged $2.50 admission for adults and a dollar for children. The receipts for 1 day were $1951 on 1300 paid admissions. How many adults attended the fair that day?

Answer 1

Assumed all children
1300 x 1 = $1300

Extra collection:
1951 - 1300 = $651

Difference in price = $2.50 - $1.00 = $1.50

$651 ÷ 1.5 = 434 adults

1300 - 434 = 866 children

Ans: 434 adults and 866 children

Answer 2

x = adults
y = children

x + y = 1300
2.5x + y = 1951 Subtract these two equations.
-1.5x = - 651
x = -651/-1.5
x = 434 Adults

y = 1300 - x
y = 1300 - 434
y = 866 children