Final answer:
To find the cost of each ticket, we need to determine the number of girls and boys who went on the field trip. The cost for the girls was $90 and the cost for the boys was $75. Each ticket cost the same amount, so we can set up an equation and solve for the cost of each ticket.
Step-by-step explanation:
To find the cost of each ticket, we need to determine the number of girls and boys who went on the field trip. Let's say there were 'g' girls and 'b' boys. The cost of admission for the girls was $90, so each girl's ticket cost $90/g. Similarly, the cost for the boys was $75, so each boy's ticket cost $75/b. Since each ticket cost the same amount:
90/g = 75/b
To solve for the cost of each ticket, we can cross-multiply and solve for 'b':
90b = 75g
b = (75g)/90 = (5g)/6
Therefore, the cost for each ticket is $75/b or $75/(5g/6) = $90/6 = $15.