Answer: she would pay $1386
Step-by-step explanation:
Let x represent the cost of an adult ticket.
Let y represent the cost of a child ticket.
He spent $882 on all of their tickets; 2 adult tickets and 3 child tickets. This means that
2x + 3y = 882 - - - - - - - - - - 1
Each adult ticket costs twice as much as each child ticket. This means that
x = 2y
Substituting x = 2y into equation 1, it becomes
2 × 2y + 3y = 882
4y + 3y = 882
7y = 882
y = 882/7 = 126
x = 2y = 126 × 2
x = 252
Each adult ticket costs $252 and each child ticket cost $126
If Mrs. Smith bought 4 adult tickets and 3 child tickets, the amount of money that she would have to pay is
252 × 4 + 126 × 3
= $1386
